The cost to fill a car's tank with gas and get a car wash is a linear function of the capacity of the tank. The costs of a fill-up and a car wash for three different customers are shown in the table. Write an equation for the function in slope-intercept form. Then, find the cost of a fill-up and a car wash for a customer with a truck whose tank size is 22 gallons. Tank size (gal) Total cost ($) (2) f (z) 11 21.45 15 28.25 17 31.65 Of (x) = 1.60x + 2.25; Cost for truck = $37.45 Of (x) = 1.70x + 2.75; Cost for truck = $40.15 O f (x) = 1.50r + 3.00; Cost for truck = $36.00 Of (x) = 0.59x + 1.62; Cost for truck = $14.60 1 2 3 4 6 7 8 9 10

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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POSSIBLE POINTS: 1
The cost to fill a car's tank with gas and get a car wash is a linear function of the capacity of the tank. The costs of a fill-up and a car wash for three
different customers are shown in the table. Write an equation for the function in slope-intercept form. Then, find the cost of a fill-up and a car wash for a
customer with a truck whose tank size is 22 gallons.
Tank size (gal)
Total cost ($)
(x)
f (x)
11
21.45
15
28.25
17
31.65
Of (x) = 1.60x + 2.25; Cost for truck = $37.45
O f (x) = 1.70x + 2.75; Cost for truck = $40.15
O f (x) = 1.50x +3.00; Cost for truck $36.00
O f (x) = 0.59r + 1.62; Cost for truck = $14.60
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Transcribed Image Text:POSSIBLE POINTS: 1 The cost to fill a car's tank with gas and get a car wash is a linear function of the capacity of the tank. The costs of a fill-up and a car wash for three different customers are shown in the table. Write an equation for the function in slope-intercept form. Then, find the cost of a fill-up and a car wash for a customer with a truck whose tank size is 22 gallons. Tank size (gal) Total cost ($) (x) f (x) 11 21.45 15 28.25 17 31.65 Of (x) = 1.60x + 2.25; Cost for truck = $37.45 O f (x) = 1.70x + 2.75; Cost for truck = $40.15 O f (x) = 1.50x +3.00; Cost for truck $36.00 O f (x) = 0.59r + 1.62; Cost for truck = $14.60 1 3 4 7 8. 9. 10
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