A consumer has a monthly income of $100 that he wants to spend on two goods:rugs priced at $10 and chairs priced at $5.TOTAL COSTRUGSCHAIRS10010011002100310041005100610071001009.100102.4 Assuming this is a linear relationship, choose two points and compute the slope(assume the Y axis to represent RUGS and the X-axis to represent CHAIRSLO

Graphically, a linear function representing the relationship between an independent variable let's…

Answered: A consumer has a monthly income of $100…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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As air moves up, it expands andcools. If the temperature is 20°C at sea level, and 10°C at analtitude of 1 km, answer the following questions.a. Assume the temperature decreases linearly and write the equation that defines a linear function for temperature as afunction of altitude.b. Assume the temperature decreases linearly, and draw agraph depicting this relation. What is the slope of the graph?c. What is the temperature at an altitude of 2.5 km?
7. For the data in the following table, assume that the dependent variable changes linearly with respect to the independent variable, then do the following: I = income a. Find the value of the slope, m, and give the units for the slope. (x $1000) (independent E = annual home energy use (kWh) (dependent variable) variable) 0 2 12,000 4 6 15,000 10 (111 b. Write an equation for the linear function (using the I and E variables). c. Calculate the missing dependent variable values in the table above. の (ii) 5
A plant can manufacture 40 tennis racket per day for a total daily cost of $3,500 and 22 tennis rackets per day for a total daily cost of $2,150. Assuming that daily cost and production are linearly related, find the total daily cost, C, of producing x tennis rackets.
1. Find the slope of each line (a). through (4, 5) and (-1,2); (b). A line parallel to 6x - 3y = 12. %3D
A company discovers that to produce x=x=600 new electronic parts, it will cost y=y=$40400. To produce 760 new electronic parts, it will cost $48880.Compute the slope of the costs and choose the most accurate statement from the following: Costs are decreasing at a rate of $53 per item. Costs are decreasing at a rate of $59 per item. Costs are decreasing at a rate of $54 per item. Costs are increasing at a rate of $53 per item. Costs are increasing at a rate of $59 per item. Costs are increasing at a rate of $54 per item
3) A vendor of hot dogs at school ball games profits $100 on the sale of 300 hot dogs and $130 on the sale of 360 hot dogs. Assume a linear relationship between profit and the quantity x of hot dogs. a. Find the equation that illustrates the relationship between the profits earned and the number of hot dogs sold. b. What does the slope of the line tell us? С. How many hot dogs would need to be sold in order to break even?
sework.asp?homeworkid-628571169&questionid=15&fushed-true&cid-7016387¢erinyes =chle 2.3 K extbook O 대 Write an Question 21, 2.3.73 Part 1 of 2 Richard F (a) Write the equation of the line in slope-intercept form. (Simplify your answer. Use integers or fractions for any numbers in the equation.) HW Score: 86.96%, 20 of 23 points O Points: 0 of 1 line passing through the given point and satisfying the given condition. Give the equation (a) in slope-intercept form and (b) in standard form. (8, 4); parallel to 5x - y = 2 Clear all
A researcher wishes.to examine the relationship between years of schooling completed and the number of pregnancies in young women, Her research discovers a linear relationship, and the model is: ŷ = 4– 2x where x is the number of years of schooling completed and y is the number of pregnancies. The slope of this line can be interpreted in the following way: - When amount of schooling increases by one year, the number of pregnancies tends to decrease by 4. When amount of schooling increases by one year, the number of pregnancies tends to increase by 4. When amount of schooling increases by one year, the number of pregnancies tends to decrease by 2. When amount of schooling increases by one year, the number of pregnancies tends to increase by 2.
A charitable organization is raising funds through a formal dinner party. Attendees must purchase the dinner for $100, adult beverages will be available for $16 per drink. If you were to construct the linear model that represented the total cost to attend, what would be the value of m (the slope)?
A linear model to predict an adult male's height (in inches) based upon their weight (in pounds) is calculated to be ŷ= .34x + 7.9 Choose the correct interpretation of the slope below. A.) For every pound heavier, we expect an adult male to be .34 inches taller. B.) For every inch taller, we expect an adult male to be .34 pounds heavier. C.) An adult male that's 0 inches tall will weigh 7.9 pounds. D.) An adult male that weighs 0 pounds will be 7.9 inches tall.
A researcher wishes to examine the relationship between years of schooling completed and the number of pregnancies in young women. Her research discovers a linear relationship, and the model is: ý = 5 3x where x is the number of years of schooling completed and y is the number of pregnancies. The slope of this line can be interpreted in the following way: When amount of schooling increases by one year, the number of pregnancies tends to decrease by 3. When amount of schooling increases by one year, the number of pregnancies tends to increase by 5. When amount of schooling increases by one year, the number of pregnancies tends to increase by 3. When amount of schooling increases by one year, the number of pregnancies tends to decrease by 5.
A baseball team plays in a stadium that holds 50000 spectators. With the ticket price at $8 the average attendance has been 21000. When the price dropped to $6, the average attendance rose to 25000. Assume that attendance is linearly related to ticket price. What ticket price would maximize revenue? s

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