Company A charges a $80 annual fee plus a $10/hr car share fee. Company B

charges $125 plus $5/hr. What is the minimum number of hours that a car
share needs to be used per year to make Company B a better deal?
O A. 9
OB. 6
O C. 11
OD. 10

1 answer

Let's start by setting up an equation to compare the total cost of using each company for a certain number of hours in a year:

Total cost for Company A = $80 + $10/hr × number of hours used

Total cost for Company B = $125 + $5/hr × number of hours used

We want to find the minimum number of hours used where the total cost for Company B is less than or equal to the total cost for Company A:

$125 + $5/hr × number of hours used ≤ $80 + $10/hr × number of hours used

Simplifying this inequality, we get:

$45 ≤ $5/hr × number of hours used

Dividing both sides by $5/hr, we get:

9 ≤ number of hours used

So the minimum number of hours that a car share needs to be used per year to make Company B a better deal is 9 hours.

Therefore, the answer is A. 9.