Ahmad works as a tutor for $9 an hour and as a waiter for $14 an hour. This month, he worked a combined total of 92 hours at his two jobs. Let t be the number of hours Ahmad worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.

Answer: 1288 - 5t, where t = number of hours Ahmad worked as a tutor this month.

Step-by-step explanation:

Given : The number of hours Ahmad works as a tutor that month = t

Combined hours of job = 92

The number of hours Ahmad works as a waiter = 92-t

Amount he got as tutor per hour = $ 9

Amount he will get as tutor = (Amount he got as tutor per hour) x (t)

= 9t

Amount he got as waiter per hour = $ 14

Amount he will get as waiter = (Amount he got as waiter per hour) x (92-t)

= 14 (92-t)

= 14 (92) - 14t [By distributive property]

= 1288 - 14t

Combined amount he earned this month = Amount he will get as tutor + Amount he got as waiter per hour

= 9t + 1288 - 14t

=1288+9t-14t [Commutative property]

= 1288 - 5t

So, the expression for the combined total dollar amount he earned this month:

1288 - 5t

where t = number of hours Ahmad worked as a tutor this month.