Question

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

Answer 1

Answer:

Total Earning = 15b + M(N - b)

where:

b is the total hours worked as a tutor

M is the amount earned by Deshaun per hour as a waiter

N is the total number of possible hours Deshaun can work in a month

Step-by-step explanation:

Let the number of hours Deshaun works daily as a waiter be w

and the time worked daily as a tutor be t

Deshaun earns $15 per hour as tutor hence daily earnings on tutoring = 15t

Let Deshaun earn $M per hour as waiter, hence daily earning as a waiter is Mw

The total possible hours Deshaun can work in a month is dependent on conditions not specified.

However, assuming 24 working days (6 days weekly for 4 weeks) in a month with maximum approved work hours of 12 hours daily

total hours Deshaun can work will equal 24 x 12 = 288hrs

Note: This 288hrs is an estimate and can change based on applicable hours of work daily and number of working days in a month; it can also be represented as N

If b is the total hours Deshaun worked as a tutor this month,

the hours Deshaun can work as a waiter in a month is equal to 288 - b

Hence in a month, Deshaun will earn 15b as a tutor and M(288-b) as a waiter or optionally M(N - b)

Therefore combined dollar amount earned in a month is

Total Earning = 15b + M(N - b)