Question

Martina works as a tutor for $13 an hour as a waitress for eight dollars an hour. This month, she worked a combined total of 100 hours at her jobs. Let t be the number of hours Martina worked as a tutor this month. Write an expression for the combined total dollar amount she earned this month

Answer 1

The expression for the combined total dollar amount she earned this

month 5 t + 800 dollars

Step-by-step explanation:

The given is:

• Martina works as a tutor for $13 an hour
• Martina works as a waitress for eight dollars an hour
• This month, she worked a combined total of 100 hours at her jobs
• Let t be the number of hours Martina worked as a tutor this month

We need to write an expression for the combined total dollar amount she earned this month

∵ t represents the number of hours Martina worked as a tutor

   this month

∵ She worked a combined total of 100 hours at her jobs

∴ The number of hours Martina worked as waitress 100 - t

∵ She works as a tutor for $13 per hour

∵ She works as a waitress for 8$ per hour

∵ She works as a tutor for t hours

∵ She works as a waitress for (100 - t) hours

∴ The total amount she earned = 13 t + 8 (100 - t)

- Let us simplify it

∵ 13 t + 8 (100 - t) = 13 t + 800 - 8 t = 5 t + 800

∴ The total amount she earned = 5 t + 800 dollars

The expression for the combined total dollar amount she earned this

month 5 t + 800 dollars

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