Question

The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $\$ 380$ to drive 480 mi and in June it cost her $\$ 460$ to drive 800 mi. (a) Express the monthly cost $C$ as a function of the distance driven $d,$ assuming that a linear relationship gives a suitable model. (b) Use part (a) to predict the cost of driving 1500 miles per month. (c) Draw the graph of the linear function. What does the slope represent? (d) What does the $C$ -intercept represent? (e) Why does a linear function give a suitable model in this situation?

Name: the monthly cost of driving a car depends on the number of miles driven lynn found that in may it cost her 380 to drive 480 mi and in june it cost her 460 to drive 800 mi a express the monthly cost 2
Uploaded: 2021-08-30T02:08:52-08:00
Duration: 7 min 59 s
Channel: Linda Hand
Description: the monthly cost of driving a car depends on the number of miles driven lynn found that in may it cost her 380 to drive 480 mi and in june it cost her 460 to drive 800 mi a express the monthly cost 2

          The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $\$ 380$ to drive 480 mi and in June it cost her $\$ 460$ to drive 800 mi.
(a) Express the monthly cost $C$ as a function of the distance driven $d,$ assuming that a linear relationship gives a suitable model.
(b) Use part (a) to predict the cost of driving 1500 miles per month.
(c) Draw the graph of the linear function. What does the slope represent?
(d) What does the $C$ -intercept represent?
(e) Why does a linear function give a suitable model in this situation?

Added by Ethan S.

Biocalculus Calculus for the Life Sciences

James Stewart 1st Edition

Chapter 1

Instant Answer

Solved by Expert Linda Hand

08/30/2021

Step 1

The slope is given by the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. So the slope is (460 - 380) / (800 - 480) = 80 / 320 = 0.25. This means that for every mile driven, the cost increases by $0.25. We also Show more…

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The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $\$ 380$ to drive 480 mi and in June it cost her $\$ 460$ to drive 800 mi. (a) Express the monthly cost $C$ as a function of the distance driven $d,$ assuming that a linear relationship gives a suitable model. (b) Use part (a) to predict the cost of driving 1500 miles per month. (c) Draw the graph of the linear function. What does the slope represent? (d) What does the $C$ -intercept represent? (e) Why does a linear function give a suitable model in this situation?