Question

You earn $12 per hour at work. On your lunch break, you get hungry and buy lunch for $9. At the end of the day, you have $99. How many hours did you work? Write an equation that models the situation for full credit.

A. Hours worked (h) = (12h - 9) = 99
B. Hours worked (h) = (12h + 9) = 99
C. Hours worked (h) = (12h) - 9 = 99
D. Hours worked (h) = 12(h - 9) = 99

Answer 1

The correct equation is Hours worked (h) = (12h) - 9 = 99, which represents earning $12 per hour, subtracting the cost of a $9 lunch, and ending the day with $99. Solving for h, we find that the student worked 9 hours.

Step-by-step explanation:

The scenario involves calculating total earnings after paying for lunch and determining the number of hours worked. To find the correct equation, we look at the options provided and identify that the correct model takes into account both the earnings per hour and the cost of lunch. The right equation must deduct the lunch cost from the total earnings. Therefore, the correct equation that models the situation is:

Hours worked (h) = (12h) - 9 = 99

We can solve this equation by adding 9 to both sides and then dividing by 12 to find the number of hours worked:

12h = 99 + 9
12h = 108
h = 108 / 12
h = 9 hours

The student worked 9 hours to earn $99 after purchasing a $9 lunch.