Question

A car rental firm has the following charges for a certain type of car: $25 per day with 100 free miles included, $0.15 per mile for more than 100 miles. Suppose you want to rent a car for one day, and you know you'll use it for more than 100 miles. What is the equation for relating the cost y to the number of miles x that you drive the car?

Answer 1

y = 25 + 0.15x is the equation for relating the cost y to the number of miles x that you drive the car

Solution:

Let "y" be the total cost of car rental

Let "x" be the number of miles you drive the car for more than 100 miles

A car rental firm has the following charges for a certain type of car:

$25 per day with 100 free miles included, $0.15 per mile for more than 100 miles

Suppose you want to rent a car for one day, and you know you'll use it for more than 100 miles

Therefore,

Car is rented for one day

You will use it for more than 100 miles

Therefore, equation is framed as:

Total cost = $ 25 + 0.15(number of hours)

$Total\ Cost = 25 + 0.15x\\\\y = 25 + 0.15x$

Thus the equation for relating the cost y to the number of miles x that you drive the car