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Write an equation for each line. 15. through (2, 2), y-intercept 10

Write an equation for each line. 15. through (2, 2), y-intercept 10

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Write equation for each line
200 14. Sales Suppose you manufacture and sell tarps. The table displays your current sizes and prices. a. Draw a scatter plot showing the relationship between a tarp's area and its cost. Use area as the independent variable. b. Use your scatter plot to develop a model relating Write an equation for each line. 15. through (2, 2), y-intercept 10 17. y-intercept -2, x-intercept - Size 5 x 7 ft 6 x 8 ft 8 x 10 ft 10 × 12 ft 12 x 16 ft 10 × 20 ft 16 × 20 ft PER MONTH VILLAGE CABLE P Cable Service 27 Tarps Price $1.39 $1.99 $3.19 $4.79 $7.69 $7.99 $12.79 the area of a tarp to its cost. c. How good a model do you feel you have? Explain. d. Is $7.00 a reasonable price for a tarp that measures 10 ft by 15 ft? Explain e. Using your model and the prices in the table, determine which tarp size varies the most from your predicted price. How great is the discrepancy between your model and the actual price? D Size 18 × 20 ft 15 x 30 ft 20 × 30 ft 20 × 40 ft 25 × 45 ft 30 × 50 ft 30 × 60 ft 16. x-intercept -2, y-intercept-6 18. through (3.5, -2.3), x-intercept 5 19. Entertainment Refer to the diagram below. Suppose you are trying to decid whether to subscribe to cable service or just rent videos. 10 $143 $23. $31.9 24-hour VIDEO (2.0) (0 a-a a. Write an equation to model the cost y of the cable service for 1 month. b. Write a second equation to model the cost y of renting x movies from the video store. What is the slope? What is the y-intercept? c. Open-Ended Suppose you currently rent 8 to 12 movies each month. Gr the two equations from parts (a) and (b). Interpret the graph. Use your interpretation to choose between the alternatives. Explain your reasoning 20. Nutrition The table below shows the relationship between Calories and fat in various fast-food hamburgers. Video Rentals $2⁹9 95 Hamburger A B C D E F G H I Calories 720 530 510 500 305 410 440-320 598 20 each V Per each is a Wor
Transcribed Image Text:200 14. Sales Suppose you manufacture and sell tarps. The table displays your current sizes and prices. a. Draw a scatter plot showing the relationship between a tarp's area and its cost. Use area as the independent variable. b. Use your scatter plot to develop a model relating Write an equation for each line. 15. through (2, 2), y-intercept 10 17. y-intercept -2, x-intercept - Size 5 x 7 ft 6 x 8 ft 8 x 10 ft 10 × 12 ft 12 x 16 ft 10 × 20 ft 16 × 20 ft PER MONTH VILLAGE CABLE P Cable Service 27 Tarps Price $1.39 $1.99 $3.19 $4.79 $7.69 $7.99 $12.79 the area of a tarp to its cost. c. How good a model do you feel you have? Explain. d. Is $7.00 a reasonable price for a tarp that measures 10 ft by 15 ft? Explain e. Using your model and the prices in the table, determine which tarp size varies the most from your predicted price. How great is the discrepancy between your model and the actual price? D Size 18 × 20 ft 15 x 30 ft 20 × 30 ft 20 × 40 ft 25 × 45 ft 30 × 50 ft 30 × 60 ft 16. x-intercept -2, y-intercept-6 18. through (3.5, -2.3), x-intercept 5 19. Entertainment Refer to the diagram below. Suppose you are trying to decid whether to subscribe to cable service or just rent videos. 10 $143 $23. $31.9 24-hour VIDEO (2.0) (0 a-a a. Write an equation to model the cost y of the cable service for 1 month. b. Write a second equation to model the cost y of renting x movies from the video store. What is the slope? What is the y-intercept? c. Open-Ended Suppose you currently rent 8 to 12 movies each month. Gr the two equations from parts (a) and (b). Interpret the graph. Use your interpretation to choose between the alternatives. Explain your reasoning 20. Nutrition The table below shows the relationship between Calories and fat in various fast-food hamburgers. Video Rentals $2⁹9 95 Hamburger A B C D E F G H I Calories 720 530 510 500 305 410 440-320 598 20 each V Per each is a Wor
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