Question

Maria works as a tutor for $10 an hour and as a waitress for $14 an hour. This month, she worked a combined total of 83 hours at her two jobs. Let t be the number of hours Maria worked as a tutor this month. Write an expression for the combined total dollar amount she earned this month.

Answer 1

$ (-4t+872)

Step-by-step explanation:

Earning for 1 hour as a tutor= $10

Earnings for 1 hour as a waitress= $14

Total hours worked in the month combined jobs= 83 hrs

Number of hours worked as a tutor for the month= t

Finding the number of hours worked as a waitress for the month= 83-t hours

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

Amount earned as a tutor= $10 × t = $10t

Amount earned as a waitress= $14× (83-t)= $ (1162-14t)

Total amount earned combined= $ 10t + $ (1162-14t)

=$ ( 10t-14t +1162)

= $ (-4t+872)