Concept explainers
Car Rentals The cost , in dollars, of a one-day car rental is modeled by the function , where is the number of miles driven.
a. What is the cost if you drive miles?
b. If the cost of renting the car is , how many miles did you drive?
c. Suppose that you want the cost to be no more than . What is the maximum number of miles that you can drive?
d. What is the implied domain of ?
e. Interpret the slope.
f. Interpret the .
a. What is the cost if you drive miles?
b. If the cost of retaining car is , how many miles did you drive?
c. Suppose that you want the cost to be not more than . What is the maximum number of miles that you can drive?
d. What is the implied domain of ?
e. Interpret the slope.
f. Interpret the .
Answer to Problem 37AYU
Solution:
a.
b. We drove 180 miles.
c. We can drive a maximum 300 miles.
d.
e. The function is an increasing function.
f. dollars is the minimum amount to be paid for the car.
Explanation of Solution
Given:
It is given that the cost of one day car rental is , where is the number of miles driven.
a. When , we get
Therefore, we get .
b. When , we get
Therefore, we drove 180 miles.
c. When , we get
Therefore, we can drive a maximum 300 miles.
d. We can see that the value of can be any number 0 and infinity.
Therefore, the domain of is .
e. Since, the slope is positive, we can say that the function is an increasing function.
f. The is the value of the function when . That is, the is the value of the car rental that we have to pay anyways. Therefore, dollars is the minimum amount to be paid for the car.
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