Explanation Given Information: The profit P is calculated on selling 200 pairs of earrings per month. x = 300 Pairs of earrings per month can be sold at the rate of p = $ 15 per pair. 375 pairs of earrings per month are actually sold at the price of $ 12 per pair. The fixed monthly costs are $ 530 and the supplies needed to produce the earrings cost $ 2.20 per pair. Formula used: If the relationship between the dependent variable y and independent variable x is linear of the form y = m x + c , then given two points A ( x 1 , y 1 ) and B ( x 2 , y 2 ) , the equation of the line in two point form is y − y 1 = y 2 − y 1 x 2 − x 1 ( x − x 1 ) Where y 2 − y 1 x 2 − x 1 = m is the slope. The distributive property over addition and subtraction for any real numbers a , b , c a ⋅ ( b + c ) = a ⋅ b + a ⋅ c a ⋅ ( b − c ) = a ⋅ b − a ⋅ c The total cost function C is the sum of fixed cost and variable cost for all the items. C = Total cost + Variable Cost The profit P is; P = R − C Calculation: Consider the provided information, The profit P is calculated on selling 200 pairs of earrings per month. x = 300 Pairs of earrings per month can be sold at the rate of p = $ 15 per pair. 375 pairs of earrings per month are actually sold at the price of $ 12 per pair. The fixed monthly costs are $ 530 and the supplies needed to produce the earrings cost $ 2.20 per pair. The independent variable x is the earrings sold and the dependent variable p is the price. The ordered pairs ( x , p ) are ( 300 , 15 ) and ( 375 , 12 ) . Now, substitute the values ( 300 , 15 ) and ( 375 , 12 ) in the slope formula y 2 − y 1 x 2 − x 1 = m

1st Edition

ISBN: 9781259218859

Author: David Sobecki Professor, Brian A. Mercer

Publisher: McGraw-Hill Education

See similar textbooks

Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Videos

Question

Chapter 4.7, Problem 6G

To determine

To calculate: The profit P on selling 200 pairs of earrings per month if x=300 pairs of earrings per month can be sold at the rate of p=$15 per pair. 375 pairs of earrings per month are actually sold at the price of $12 per pair.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 4.7, Problem 5G

Chapter 4.7, Problem 7G

Students have asked these similar questions

Find the differential of the function f(x,y) = 3xe² at the point (3, 4) using Ax = 0.3 and Ay = −0.2 dz = Now find Az and compare it to your answer above Az = Hint: If entering a decimal, round to at least 5 places

eigenvalues and eigenvector

Let z(x, y) = xºy where x = t³ & y = tº. dz dx dy Calculate by first finding & and using the chain rule. dt dt dt

Chapter 4 Solutions

Pathways to Math Literacy (Loose Leaf)

Ch. 4.1 - After reading the opening paragraph, what do you...Ch. 4.1 - Prob. 1G Ch. 4.1 - Prob. 2G Ch. 4.1 - Prob. 3G Ch. 4.1 - Prob. 4G Ch. 4.1 - Prob. 5G Ch. 4.1 - Prob. 6G Ch. 4.1 - Prob. 1C Ch. 4.1 - Prob. 2C Ch. 4.1 - Prob. 3C

Ch. 4.1 - Prob. 4C Ch. 4.1 - Prob. 5C Ch. 4.1 - This phenomenon is so common, in fact, that data...Ch. 4.1 - Find the standard deviation for Ji-Mins golf...Ch. 4.1 - Discuss how comparing the two standard deviations...Ch. 4.1 - A standard package of Oreos is supposed to contain...Ch. 4.1 - A standard package of Oreos is supposed to contain...Ch. 4.1 - The probability of a package of Oreos containing...Ch. 4.1 - The probability of a package of Oreos containing...Ch. 4.1 - The probability of a package of Oreos containing...Ch. 4.1 - The probability of a package of Oreos containing...Ch. 4.1 - The probability of a package of Oreos containing...Ch. 4.1 - The probability of a package of Oreos containing...Ch. 4.1 - The probability of a package of Oreos containing...Ch. 4.1 - As our friend Mr. Twain pointed out over 100 years...Ch. 4.1 - As our friend Mr. Twain pointed out over 100 years...Ch. 4.1 - As our friend Mr. Twain pointed out over 100 years...Ch. 4.1 - Prob. 1R Ch. 4.1 - Prob. 2R Ch. 4.1 - Prob. 3R Ch. 4.1 - Prob. 4R Ch. 4.1 - Prob. 1A Ch. 4.1 - Prob. 2A Ch. 4.1 - Prob. 3A Ch. 4.1 - In a group of 500 women, how many would you expect...Ch. 4.1 - Prob. 5A Ch. 4.1 - Prob. 6A Ch. 4.2 - Prob. 0LO Ch. 4.2 - Prob. 1C Ch. 4.2 - Prob. 2C Ch. 4.2 - Prob. 3C Ch. 4.2 - Prob. 4C Ch. 4.2 - The process used to find the distance from the...Ch. 4.2 - The process used to find the distance from the...Ch. 4.2 - The process used to find the distance from the...Ch. 4.2 - The process used to find the distance from the...Ch. 4.2 - Prob. 5CA Ch. 4.2 - Suppose that we know that the distance between...Ch. 4.2 - How does the distance between points P and Q...Ch. 4.2 - The lower illustration also shows points P, Q, M,...Ch. 4.2 - Based on the scale provided on the two-dimensional...Ch. 4.2 - Illustrate the grade of each trail by drawing a...Ch. 4.2 - Use the Pythagorean theorem to estimate the true...Ch. 4.2 - Prob. 7G Ch. 4.2 - How far would you actually drive in covering that...Ch. 4.2 - Prob. 9G Ch. 4.2 - Prob. 11G Ch. 4.2 - What does the Pythagorean theorem say? When can...Ch. 4.2 - Why cant you just find the distance between two...Ch. 4.2 - Prob. 3R Ch. 4.2 - Estimate the elevation of point A.Ch. 4.2 - Prob. 2A Ch. 4.2 - How far would you walk along the trail from point...Ch. 4.2 - Prob. 4A Ch. 4.3 - Prob. 0LO Ch. 4.3 - The amount of profit that a company makes when...Ch. 4.3 - If he decides to make the play area 5 feet wide,...Ch. 4.3 - Prob. 2G Ch. 4.3 - Prob. 3G Ch. 4.3 - Based on the graph, what width makes the area as...Ch. 4.3 - Prob. 5G Ch. 4.3 - Prob. 6G Ch. 4.3 - Prob. 7G Ch. 4.3 - Prob. 8G Ch. 4.3 - Prob. 9G Ch. 4.3 - Prob. 10G Ch. 4.3 - Prob. 11G Ch. 4.3 - Prob. 12G Ch. 4.3 - Prob. 13G Ch. 4.3 - Prob. 14G Ch. 4.3 - Prob. 15G Ch. 4.3 - Prob. 1T Ch. 4.3 - If youre looking at a graph, what are some key...Ch. 4.3 - Prob. 2R Ch. 4.3 - Type a short answer to each question. Think of...Ch. 4.3 - Prob. 4R Ch. 4.3 - About how high above the ground was the ball when...Ch. 4.3 - How far away from where it was kicked did the ball...Ch. 4.3 - How high did the punt go?Ch. 4.3 - The hang time of a punt is how long its in the air...Ch. 4.3 - After how many seconds was the ball 45 feet above...Ch. 4.3 - Prob. 7A Ch. 4.3 - Prob. 8A Ch. 4.4 - Prob. 0LO Ch. 4.4 - Describe the differences between linear and...Ch. 4.4 - Prob. 2C Ch. 4.4 - Prob. 3C Ch. 4.4 - Prob. 4C Ch. 4.4 - Prob. 5C Ch. 4.4 - Prob. 6C Ch. 4.4 - Prob. 7C Ch. 4.4 - Prob. 8C Ch. 4.4 - Prob. 9C Ch. 4.4 - Prob. 10C Ch. 4.4 - If youre the coffee drinker represented by the...Ch. 4.4 - Find the relative change in caffeine for each...Ch. 4.4 - Complete this important statement about...Ch. 4.4 - Looking at the graph of the caffeine remaining in...Ch. 4.4 - Whats the multiplication factor that youd need to...Ch. 4.4 - Prob. 6G Ch. 4.4 - Prob. 7G Ch. 4.4 - Prob. 8G Ch. 4.4 - Prob. 9G Ch. 4.4 - Use either TABLE or TRACE commands on your...Ch. 4.4 - Prob. 11G Ch. 4.4 - Compare exponential growth and exponential decay....Ch. 4.4 - What did you learn in this lesson about the value...Ch. 4.4 - Prob. 3R Ch. 4.4 - How much money is Joe earning when hes 30?Ch. 4.4 - How much money is he allowing himself to spend...Ch. 4.4 - How much is Joe earning when hes 35? Show a...Ch. 4.4 - How much money is Joe allowing himself to spend...Ch. 4.4 - Carefully explain the meaning of the crossover...Ch. 4.5 - Prob. 0LO Ch. 4.5 - Prob. 1G Ch. 4.5 - Prob. 2G Ch. 4.5 - Prob. 3G Ch. 4.5 - Prob. 4G Ch. 4.5 - Prob. 5G Ch. 4.5 - Prob. 6G Ch. 4.5 - Prob. 7G Ch. 4.5 - Prob. 8G Ch. 4.5 - Prob. 9G Ch. 4.5 - Prob. 10G Ch. 4.5 - Prob. 11G Ch. 4.5 - Prob. 1C Ch. 4.5 - Prob. 2C Ch. 4.5 - Prob. 3C Ch. 4.5 - Prob. 4C Ch. 4.5 - Prob. 5C Ch. 4.5 - Prob. 6C Ch. 4.5 - Prob. 7C Ch. 4.5 - Prob. 8C Ch. 4.5 - Prob. 9C Ch. 4.5 - Prob. 10C Ch. 4.5 - Prob. 11C Ch. 4.5 - Prob. 12C Ch. 4.5 - Prob. 13C Ch. 4.5 - Prob. 14C Ch. 4.5 - Prob. 15C Ch. 4.5 - Prob. 16C Ch. 4.5 - Prob. 1R Ch. 4.5 - Prob. 2R Ch. 4.5 - Prob. 3R Ch. 4.5 - Prob. 4R Ch. 4.5 - Prob. 1A Ch. 4.5 - Prob. 2A Ch. 4.5 - Prob. 3A Ch. 4.5 - Prob. 4A Ch. 4.6 - Prob. 0LO Ch. 4.6 - Newtons law of universal gravitation describes the...Ch. 4.6 - Newtons law of universal gravitation describes the...Ch. 4.6 - Newtons law of universal gravitation describes the...Ch. 4.6 - Newtons law of universal gravitation describes the...Ch. 4.6 - Prob. 5C Ch. 4.6 - Prob. 6C Ch. 4.6 - Prob. 7C Ch. 4.6 - Prob. 8C Ch. 4.6 - Prob. 9C Ch. 4.6 - Prob. 10C Ch. 4.6 - Prob. 11C Ch. 4.6 - Prob. 12C Ch. 4.6 - Use Newtons law of universal gravitation to find...Ch. 4.6 - Prob. 14C Ch. 4.6 - Prob. 1G Ch. 4.6 - Prob. 2G Ch. 4.6 - Prob. 3G Ch. 4.6 - Prob. 5G Ch. 4.6 - Prob. 6G Ch. 4.6 - Prob. 7G Ch. 4.6 - A fun fact: you can use a microwave oven and a bar...Ch. 4.6 - Prob. 1R Ch. 4.6 - Prob. 2R Ch. 4.6 - Prob. 3R Ch. 4.6 - Prob. 4R Ch. 4.6 - Prob. 1A Ch. 4.6 - Prob. 2A Ch. 4.6 - Prob. 3A Ch. 4.6 - Prob. 4A Ch. 4.6 - Prob. 5A Ch. 4.6 - Prob. 6A Ch. 4.6 - Prob. 7A Ch. 4.7 - Prob. 0LO Ch. 4.7 - Prob. 1G Ch. 4.7 - Prob. 2G Ch. 4.7 - Prob. 3G Ch. 4.7 - Prob. 4G Ch. 4.7 - Prob. 5G Ch. 4.7 - Prob. 6G Ch. 4.7 - Prob. 7G Ch. 4.7 - Prob. 8G Ch. 4.7 - Prob. 9G Ch. 4.7 - Prob. 10G Ch. 4.7 - Prob. 11G Ch. 4.7 - From years of experience, the owner of a small...Ch. 4.7 - Prob. 13G Ch. 4.7 - Prob. 14G Ch. 4.7 - Prob. 15G Ch. 4.7 - Prob. 16G Ch. 4.7 - Prob. 17G Ch. 4.7 - Prob. 18G Ch. 4.7 - Prob. 19G Ch. 4.7 - In Questions 14, simplify each expression. Aside...Ch. 4.7 - In Questions 14, simplify each expression. Aside...Ch. 4.7 - In Questions 14, simplify each expression. Aside...Ch. 4.7 - In Questions 14, simplify each expression. Aside...Ch. 4.7 - Prob. 5C Ch. 4.7 - Prob. 6C Ch. 4.7 - Prob. 7C Ch. 4.7 - Our next goal is to multiply (x5)by(x2+3x+4). a....Ch. 4.7 - Prob. 9C Ch. 4.7 - What is a polynomial? What is meant by the phrase...Ch. 4.7 - Prob. 2R Ch. 4.7 - What questions do you have about this lesson?Ch. 4.7 - Prob. 1A Ch. 4.7 - Prob. 2A Ch. 4.7 - Prob. 3A Ch. 4.7 - Prob. 4A Ch. 4.7 - Prob. 5A Ch. 4.7 - Prob. 6A Ch. 4.7 - Prob. 7A Ch. 4.7 - Prob. 8A Ch. 4.7 - Prob. 9A Ch. 4.7 - Prob. 10A Ch. 4.8 - Prob. 0LO Ch. 4.8 - Perform the multiplication: 57=Ch. 4.8 - Prob. 2G Ch. 4.8 - If the volume in the YouTube window is set at half...Ch. 4.8 - If the volume in the YouTube window is set at half...Ch. 4.8 - If the volume in the YouTube window is set all the...Ch. 4.8 - To get the overall volume, we _______ the...Ch. 4.8 - Prob. 7G Ch. 4.8 - Prob. 8G Ch. 4.8 - Prob. 9G Ch. 4.8 - Prob. 10G Ch. 4.8 - Prob. 11G Ch. 4.8 - Prob. 12G Ch. 4.8 - Prob. 1C Ch. 4.8 - For the polynomial P(x)=(x1)(x+5), find each...Ch. 4.8 - Use the table and graph provided for...Ch. 4.8 - Prob. 4C Ch. 4.8 - Prob. 5C Ch. 4.8 - y(x)=(x+5)(x+4)(x2) Zeros: x intercepts:Ch. 4.8 - Prob. 7C Ch. 4.8 - Prob. 8C Ch. 4.8 - Prob. 9C Ch. 4.8 - Prob. 10C Ch. 4.8 - Prob. 11C Ch. 4.8 - Prob. 12C Ch. 4.8 - Prob. 13C Ch. 4.8 - Prob. 14C Ch. 4.8 - Prob. 15C Ch. 4.8 - Prob. 16C Ch. 4.8 - Prob. 17C Ch. 4.8 - Prob. 18C Ch. 4.8 - Prob. 19C Ch. 4.8 - If the current yield per tree is 800, and will go...Ch. 4.8 - If the current yield per tree is 800, and will go...Ch. 4.8 - Prob. 22C Ch. 4.8 - Prob. 23C Ch. 4.8 - Prob. 24C Ch. 4.8 - Prob. 1R Ch. 4.8 - Prob. 2R Ch. 4.8 - Prob. 3R Ch. 4.8 - Prob. 1A Ch. 4.8 - Prob. 2A Ch. 4.8 - Prob. 3A Ch. 4.8 - Prob. 4A Ch. 4.8 - Prob. 5A Ch. 4.8 - Prob. 6A Ch. 4.9 - Prob. 0LO Ch. 4.9 - Prob. 1C Ch. 4.9 - Use the quadratic formula to find the two...Ch. 4.9 - One of the solutions provides the length of the...Ch. 4.9 - What is the significance of the other solution in...Ch. 4.9 - Whats the connection between the solutions of the...Ch. 4.9 - Prob. 6C Ch. 4.9 - Prob. 7C Ch. 4.9 - Prob. 8C Ch. 4.9 - Prob. 9C Ch. 4.9 - Prob. 10C Ch. 4.9 - Prob. 1G Ch. 4.9 - Prob. 2G Ch. 4.9 - Prob. 3G Ch. 4.9 - Prob. 4G Ch. 4.9 - Prob. 5G Ch. 4.9 - Prob. 6G Ch. 4.9 - Experiment: The Time Needed To Drain a Bottle...Ch. 4.9 - Prob. 8G Ch. 4.9 - Experiment: The Time Needed To Drain a Bottle...Ch. 4.9 - What is the quadratic formula used for? Why is...Ch. 4.9 - What types of applied problems can be solved using...Ch. 4.9 - Prob. 3R Ch. 4.9 - Use a calculator or spreadsheet to make a table of...Ch. 4.9 - Find the vertex of the parabola using the formula...Ch. 4.9 - Explain what each coordinate of the vertex means.Ch. 4.9 - Find the intercepts for the function.Ch. 4.9 - Explain what each intercept means.Ch. 4.9 - Describe when the ball is headed upward, and when...Ch. 4.9 - Prob. 7A Ch. 4.9 - The distance for golf shots is traditionally...Ch. 4.9 - Prob. 9A Ch. 4.9 - Prob. 10A Ch. 4.9 - Prob. 11A Ch. 4.9 - Prob. 12A Ch. 4.10 - After reading the opening paragraph, what do you...Ch. 4.10 - Record the data from your experiment in the table....Ch. 4.10 - Use these data to create a scatter plot. Use the...Ch. 4.10 - Using your graphing calculator, find an...Ch. 4.10 - Use your function to approximate the height of the...Ch. 4.10 - Evaluate your equation for x=0. What does your...Ch. 4.10 - What does the variable x represent?Ch. 4.10 - In the equation y=abx that models your data, what...Ch. 4.10 - In the equation y=abx that models your data, what...Ch. 4.10 - Using data from your original table, fill in this...Ch. 4.10 - Use these data to create a second scatter plot.Ch. 4.10 - Based on the scatter plot, what kind of equation...Ch. 4.10 - Use your graphing calculator to find the equation...Ch. 4.10 - Your equation has a variable in it, but also has...Ch. 4.10 - If you were to drop the golf ball from your...Ch. 4.10 - Find the relative change in height from one bounce...Ch. 4.10 - (This one requires some thought, but is the key...Ch. 4.10 - Whats the bounce height as a percentage of the...Ch. 4.10 - Write an expression that calculates the bounce...Ch. 4.10 - Write an equation that describes the bounce height...Ch. 4.10 - Using your answer to Question 17, its possible to...Ch. 4.10 - What do you think would be some sources of error...Ch. 4.10 - Type a short answer to each question. Weve studied...Ch. 4.10 - How could you tell if neither of those types of...Ch. 4.10 - Type a short answer to each question. Take another...Ch. 4.10 - What questions do you have about this lesson?Ch. 4.10 - The equation y=10,000(1.06)x describes the growth...Ch. 4.10 - Prob. 2A Ch. 4.10 - The equation y=10,000(1.06)x...Ch. 4.10 - The model in Questions 1-3 is an example of...Ch. 4.10 - The model in Questions 1-3 is an example of...Ch. 4.10 - When an initial amount of P dollars is invested at...Ch. 4.10 - Prob. 7A Ch. 4.10 - When an initial amount of P dollars is invested at...Ch. 4.10 - When an initial amount of P dollars is invested at...Ch. 4.10 - One of the best reasons for understanding...Ch. 4.10 - One of the best reasons for understanding...Ch. 4.10 - One of the best reasons for understanding...Ch. 4.10 - One of the best reasons for understanding...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

The profit P on selling 200 pairs of earrings per month if x = 300 pairs of earrings per month can be sold at the rate of p = $ 15 per pair. 375 pairs of earrings per month are actually sold at the price of $ 12 per pair.

Solution Summary: The author explains how the profit P is calculated on selling 200 pairs of earrings per month.

Concept explainers

Videos

To calculate: The profit P on selling 200 pairs of earrings per month if x=300 pairs of earrings per month can be sold at the rate of p=$15 per pair. 375 pairs of earrings per month are actually sold at the price of $12 per pair.

Want to see the full answer?

Chapter 4 Solutions