Company a charges a $110 annual fee plus a $10/hr car share fee. company b charges $125 plus $7/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?

a. 11

b. 6 (correct answer on apex)

c. 5

d. 9

C is the correct option.

Step-by-step explanation:

Let x represent the number of hours for which a car share is used with either company A or company B.

Company A charges a $110 annual fee plus a $10/hr car share fee. This means that the total cost of using x hours of car share with company A is

10x + 110

Company B charges $125 plus $7/hr. This means that the total cost of using x hours of car share with company B is

7x + 125

For the minimum number of hours that a car share needs to be used per year to make Company B a better deal, then

10x + 110 ≥ 7x + 125

10x - 7x ≥ 125 - 110

3x ≥ 15

x ≥ 15/3

x ≥ 5

the 2 figures are congruent bc if you reflect abcd over the y axis then over the d axis the figures overlap