**Sunglass Shipments Rate Calculation**A factory ships sunglasses in boxes that each have the same number of sunglasses. The table below shows the data for 4 shipments.| **Number of Boxes** | **Number of Sunglasses** ||---------------------|------------------------|| 2 | 50 || 3 | 75 || 5 | 125 || 7 | 175 |The question is: Which rate represents the relationship in the table?**Options:**A. 225 sunglasses per 8 boxes B. 100 sunglasses per 4 boxes C. 5 sunglasses per 125 boxes D. 4 sunglasses per 100 boxes **Analysis:**To determine the correct rate, we'll calculate the ratio of the number of sunglasses to the number of boxes for each shipment:- For 2 boxes: $ \frac{50 \text{ sunglasses}}{2 \text{ boxes}} = 25 \text{ sunglasses per box} $- For 3 boxes: $ \frac{75 \text{ sunglasses}}{3 \text{ boxes}} = 25 \text{ sunglasses per box} $- For 5 boxes: $ \frac{125 \text{ sunglasses}}{5 \text{ boxes}} = 25 \text{ sunglasses per box} $- For 7 boxes: $ \frac{175 \text{ sunglasses}}{7 \text{ boxes}} = 25 \text{ sunglasses per box} $The relationship is consistent at $ 25 \text{ sunglasses per box} $. Now, analyze the given options:A. 225 sunglasses per 8 boxes$ \frac{225 \text{ sunglasses}}{8 \text{ boxes}} = 28.125 \text{ sunglasses per box} $B. 100 sunglasses per 4 boxes$ \frac{100 \text{ sunglasses}}{4 \text{ boxes}} = 25 \text{ sunglasses per box} $C. 5 sunglasses per 125 boxes$ \frac{5 \text{ sunglasses}}{125 \text{ boxes}} = 0.04 \text{ sunglasses per box} $D. 4 sunglasses per 100 boxes\( \frac{4 \text{ sunglasses}}{100 \text{ boxes}} = 0.04 \text{ sunglasses per box

It is given that a factor ships sunglasses in boxes that each have the same number of sunglasses.

A factory ships sunglasses in boxes that each have the same number of sunglasses. The table shows the data for 4 shipments. Number of Number of Вохes Sunglasses 2 50 75 125 175 Which rate represents the relationship in the table? A. 225 sunglasses per 8 boxes В. 100 sunglasses per 4 boxes С. 5 sunglasses per 125 boxes D. 4 sunglasses per 100 boxes

A factory ships sunglasses in boxes that each have the same number of sunglasses. The table shows the data for 4 shipments. Number of Number of Вохes Sunglasses 2 50 75 125 175 Which rate represents the relationship in the table? A. 225 sunglasses per 8 boxes В. 100 sunglasses per 4 boxes С. 5 sunglasses per 125 boxes D. 4 sunglasses per 100 boxes

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Atlanta Airlines routinely overbooks its flight from At- lanta to Boston. Overbooking discounted…

A: Revenue per seat = $300. Overbooking price per seat =$450. The 120-passenger jet costs about $6000…

Q: Forty percent of the students in a math class have brown eyes. If there are 10 students with brown…

A: Given, Forty percent of the students in a math class have brown eyes. There are 10 students…

Q: John's Pharmacy RECORDED THE No. OF SALES THEY MADE EACH MONTH. IN THE PAST 12 MONTHS, THEY SOLD THE…

A: For the given data Make a box and whisker plot. Label it after.

Q: A woman buys 5 packets of biscuits at $x each and 3 packets of biscuits at $Y each. What is the…

Q: A kitchen sink holds 24 gallons of water. A full sink drains at 3 gallons per minute. Which of the…

Q: The population in Terre Haute Indiana in 2012 was 61,112 in 2019 the population was 60,622. Clinton…

A: Relative change is the difference over two periods in time. Relative Change % = ((B - A ) / A) x 100…

Q: hey (in dollars) the company spent on medical support for its employees in the first three months of…

A: Giving From the given table Formula for weighted mean =(summation of fi *xi)/summation of fi)

Q: Are the f-llowing functions Continual s OFC メーE X-2 スト=メ 1P 2) FCX)s X- S X +7 at XE-1 X5qXs (xフゴ

Q: A 60-gallon bathtub is to be filled with water that is exactly 120°F. Unfortunately, the two sources…

Q: Environment Canada’s Fuel Economy Guide provides fuel efficiency data for 2020 model year cars and…

A: Regression equation to predict the fuel efficiency for the highway is given by- where FE is fuel…

Q: In 2010, the population of California was 37.27 million people. In 2000, the population was 33.63…

A: Given that In 2010, the population of California was 37.27 million people. In 2000, the population…

Q: 6:37. According to the Chebyshev's theorem at least what percentage of the data values lie bérween

Q: cheapest-link tour, and give the total cost for this tour.

A: We have to find out the cheapest link tour and the total cost for the given problem.

Q: Time(t) Enrollment 1 907 2 981 3 1014 4 1015 1050 6. 1071 7 1123 8 1118 1175 10 1216

A: Given: time(t) Enrollment(y) 1 907 2 981 3 1014 4 1015 5 1050 6 1071 7 1123 8…

Q: late the cost of each processor die if the cost of wafer is $500. Percentage of good dies among…

A: Die Cost=Wafer Cost(Dies Per Wafer x Die Yield) Here cost of wafer is $500. Dies per wafer=50. 7…

Q: One of the world's leading cycling magazine reviews hundreds of bicycles throughout the year. Their…

A: Introduction :- Here we have to regression analysis for the given data. To estimate regression…

Q: The following table shows the number of hours a cleaning company spends cleaning apartments Time…

A: Answer is in below step.

Q: Each nurse station at the hospital requires 8 nurses every shift schedule. If there are 3 shifts in…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: B. George takes his friend Chloe to "Old Guts And Glory"- a popular restaurant chain. The specialty…

A: a) Here, the total number of customers who got sick after LB is 5,236 and the total number of food…

Q: In a given university of 400 faculty members, 40% are males . What percent greater are the females…

Q: An article in the Archives of Internal Medicine reported that in a sample of 224 men, 73 had…

A: Here 224 men and 232 women are selected randomly. 73 of the men had elevated cholesterol levels,…

Q: Which companies spend the most money on advertising? A news website maintains a list of the…

A: Given that :Number of companies=12Company Advertising (In…

Q: Average prices (in dollars) were recorded for three types of beverage across all 8 major Australian…

A: Given : Average prices (in dollars) were recorded for three types of beverage across all 8 major…

Q: A baker has 28 plain bagels and 20 blueberry bagels. If 25% of the plain bagels are gluten free and…

Q: Express all answers as decimals rounded to 3 decimal places, if needed. Express percentages decimals…

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.

Question

**Sunglass Shipments Rate Calculation**

A factory ships sunglasses in boxes that each have the same number of sunglasses. The table below shows the data for 4 shipments.

| **Number of Boxes** | **Number of Sunglasses** |
|---------------------|------------------------|
| 2 | 50 |
| 3 | 75 |
| 5 | 125 |
| 7 | 175 |

The question is: Which rate represents the relationship in the table?

**Options:**

A. 225 sunglasses per 8 boxes
B. 100 sunglasses per 4 boxes
C. 5 sunglasses per 125 boxes
D. 4 sunglasses per 100 boxes

**Analysis:**

To determine the correct rate, we'll calculate the ratio of the number of sunglasses to the number of boxes for each shipment:

- For 2 boxes: $ \frac{50 \text{ sunglasses}}{2 \text{ boxes}} = 25 \text{ sunglasses per box} $
- For 3 boxes: $ \frac{75 \text{ sunglasses}}{3 \text{ boxes}} = 25 \text{ sunglasses per box} $
- For 5 boxes: $ \frac{125 \text{ sunglasses}}{5 \text{ boxes}} = 25 \text{ sunglasses per box} $
- For 7 boxes: $ \frac{175 \text{ sunglasses}}{7 \text{ boxes}} = 25 \text{ sunglasses per box} $

The relationship is consistent at $ 25 \text{ sunglasses per box} $. Now, analyze the given options:

A. 225 sunglasses per 8 boxes

$ \frac{225 \text{ sunglasses}}{8 \text{ boxes}} = 28.125 \text{ sunglasses per box} $

B. 100 sunglasses per 4 boxes

$ \frac{100 \text{ sunglasses}}{4 \text{ boxes}} = 25 \text{ sunglasses per box} $

C. 5 sunglasses per 125 boxes

$ \frac{5 \text{ sunglasses}}{125 \text{ boxes}} = 0.04 \text{ sunglasses per box} $

D. 4 sunglasses per 100 boxes

\( \frac{4 \text{ sunglasses}}{100 \text{ boxes}} = 0.04 \text{ sunglasses per box

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Linear Equations$

Learn more about

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

Similar questions

A marketing manager for a large cafeteria chain wished to investigate sales of coffee (i.e., sales is the variable she is trying to understand). Fourteen cafeterias that were similar in such respects as volume of business, type of clientele, and location were chosen for data collection. Data were collected on sales of coffee (in hundreds of gallons) and the number of coffee dispensers within the cafeteria. The results are shown below. Sales Number of Dispensers 631.9 1 628 1 692.5 2 688.4 2 747.4 3 773.3 3 791.4 4 803.4 4 838.7 5 879.6 5 881 6 841.1 6 860.6 7 883.8 7 Create a scatter plot and then fit a quadratic model to predict sales from the number of dispensers. If we define y to be sales (in hundreds of gallons) and x to be the number of dispensers, what is the correct quadratic model? Group of answer choices a. y=-6.397x2+92.85x+538.06 b. y=41.67x+614.829 c. y=0.022x-12.979 d. y=3.348x10-5x2-0.0292x+6.09 e. y=623.521x0.180
In 2000, 12.8% of vehicles sold were off-road vehicles. In 2010, that number decreased to 10.2%. Calculate and interpret the relative change in the number of off-road vehicles sold from 2000 to 2010.
Lotus Yoga Products has 10 operators, and the company works 8 hours a day (8 am to 5 pm with an hour break), 5 days a week. Company is manufacturing yoga pants and the standard minute value for a line to finish one pant=20 minutes. Company produces 178 pairs of pants a day. Calculate the output, in-put and productivity (first two answers in minutes and third as a percentage). What is the number of days to finish the order for 2500 pants (round to whole number) = Required capacity needed in hours /actual capacity per day in hours
The average wages paid to all workers in a factory was $. 5000. The average wages paid to male and female employees were $. 5,200 and $. 4,200 respectively. Determine the percentage of males and females employed by the company.
The price of an airline ticket was $320, and it is now $400. What is the percent increase in the price of the ticket? Ха. 80% b. 0.25% с. 25% d. 20% e. 0.20%
3. POPULATION DENSITY In 2000Texas had about 2.74 persons per household, \$93,354 householdsand a land area of about 261,797 square miles. What was the population density of Texas in 2000 the population in 2009 was about 24, 782, 302 how did the density in 2009 compare to the density in 2000 ?
Nicole started a new diet that requires each meal to have 340 calories, 6 grams of fiber, and 6 g of fat. The table shows the fiber, fat, and calorie content of one serving of each of three breakfast foods. How many servings of each food should Nicole eat to follow her diet? toast serving(s) cottage cheese serving(s) fruit serving(s) Food Fiber (g) Fat (g) Calories Toast 2 1 100 Cottage cheese 0 5 120 Fruit 2 0 60
{a, b, c}. Find the following Let A = {1,2} and B = а. АхА b. АхВ %3D С. ВХА d. ВxB е. п(Ах А) f. п(Ах В) g. п(В x А) h. п(В x В)