Question

Rachel works as a tutor for $15 an hour and as a waitress for $8 an hour. This month, she worked a combined total of 109 hours at her two jobs. Let t be the number of hours Rachel worked as a tutor this month. Write an expression for the combined total dollar amount she earned this month.

Answer 1

$ (7t+872)

Explanation:

Earning for 1 hour as a tutor= $15

Earnings for 1 hour as a waitress= $8

Total hours worked in the month combined jobs= 109 hrs

Number of hours worked as tutor for the month= t

Find the number of hours worked as waitress for the month= 109-t hours

Total amount earned that month = amount earned as a tutor+ amount earned as a waitress

Amount earned as a tutor= $15 × t = $15t

Amount earned as a waitress= $8× (109-t)= $ (872-8t)

Total amount earned combined= $ 15t + $ (872-8t)

=$ ( 15t-8t +872)

= $ (7t+872)