Question

The cost of renting a car is $85/wk plus $0.35/mi traveled during that week. An equation to represent the cost would be

y = 85 + 0.35x, where x is the number of miles traveled.
If your cost was $107.75, how many miles were you charged for traveling?

Answer 1

The number of miles charged for traveling is 65 miles.

Explanation:

To determine the number of miles traveled based on the given cost of $107.75, we can set up an equation using the formula for the cost of renting a car:

Cost = $85 per week + $0.35 per mile

y = 85 + 0.35x

where y is the total cost and x is the number of miles traveled.

We can plug in the given cost of $107.75 and solve for x:

107.75 = 85 + 0.35x

Subtracting 85 from both sides, we get:

22.75 = 0.35x

Dividing both sides by 0.35, we get:

x = 65

Therefore, the number of miles charged for traveling is 65 miles.