Question

Jada has time on the weekends to earn some money. A local bookstore is looking for someone to help sort books and will pay $12.20 an hour. To get to and from the bookstore on a work day, however, Jada would have to spend $7.15 on bus fare.

Clearly define each of the terms of the equation, E=12.20h-7.15E = 12.20 h − 7.15
How long does Jada work if she makes $65.70?
a) 5 hours
b) 6 hours
c) 7 hours
d) 8 hours

Answer 1

The correct answer is b) 6 hours. Jada's earnings equation is E = 12.20h - 7.15, where she earns $12.20 per hour and spends $7.15 on bus fare. Solving for h when E is $65.70, Jada works approximately 6 hours.

Step-by-step explanation:

The question asks us to solve for the number of hours Jada works if she makes a total of $65.70. The equation given is E = 12.20h - 7.15, where E represents Jada's earnings, h stands for the number of hours she works, and 7.15 is the fixed cost of bus fare she spends on a work day. To find the answer, we substitute 65.70 for E and solve for h:

65.70 = 12.20h - 7.15
65.70 + 7.15 = 12.20h
72.85 = 12.20h
h = 72.85 / 12.20
h = 5.975

Upon rounding, we find that Jada works approximately 6 hours to make $65.70 after accounting for the bus fare. Hence, the correct answer would be option b) 6 hours.