Question

Hans works as a tutor for $12 an hour and as a waiter for $15 an hour. This month, he worked a combined total of 89 hours at his two jobs. Let t be the number of hours Hans worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.

A) Total earnings = 12t + 15(89 - t)
B) Total earnings = 12t + 15t
C) Total earnings = 12(89 - t) + 15t
D) Total earnings = 12(89 - t) + 15(89 - t)

Answer 1

The correct expression for the combined total dollar amount Hans earned from his two jobs is 12t + 15(89 - t), where t represents the hours worked as a tutor.

Step-by-step explanation:

The student is asked to write an expression for the combined total dollar amount that Hans earned from his two jobs. Since Hans works as a tutor for $12 an hour and as a waiter for $15 an hour, and we have 89 hours as the total number of hours worked in both jobs, we let t represent the number of hours he worked as a tutor. So, the total earnings from tutoring would be 12t (since he earns $12 for every hour of tutoring), and the earnings from working as a waiter would be 15(89 - t) (because 89 - t represents the hours he worked as a waiter and he earns $15 for every hour of waitering). Combining both earnings gives us the expression for his total monthly earnings, which is Option A: Total earnings = 12t + 15(89 - t).