You rent a car for the day and are offered two payment options. With option A you pay $25 flat rate plus $0.15 per mile. With option B you pay a $10 flat rate plus $0.40 per mile. For what amount of miles would the cost of option A be equal to option B

60 miles.

Step-by-step explanation:

Given:

We rent a car for the day and are offered two payment options.

With option A we pay $25 flat rate plus $0.15 per mile.

With option B we pay a $10 flat rate plus $0.40 per mile.

Question asked:

For what amount of miles would the cost of option A be equal to option B ?

Solution:

Let amount of miles for which the cost of option A be equal to option B =

For option A, we pay =

For option B, we pay =

Now, to find amount of miles for which the cost of option A be equal to option B, we will equalize the equation to find the value of

By subtracting both sides by 10

By subtracting both sides by

By dividing both sides by

Therefore, for 60 miles, the cost of option A will be equal to option B.

60: 45 =12: 9 =4: 3 so the answer is 4: 3