Q:

# Could someone find the expression?

Accepted Solution

A:
Answer:Total earned(in dollars) $$=2\ t+920$$Step-by-step explanation:Given:Michael's hourly rate working as a tutor = $12 per hourMichael's hourly rate working as a waiter =$10 per hourTotal number of hours worked by Michael for both jobs this month = 92 Let the number of hours Michael works as a tutor this month be $$=t$$ hours.β΄ Number of hours Michael works as a waiter this month will be $$=(92-t)$$ hours.Amount earned by Michael this month from tutor jobβ$$\textrm{Hourly rate}\times\textrm{Number of hours worked}$$β$$12\times t$$β$$\12\ t$$Amount earned by Michael this month from tutor jobβ $$\textrm{Hourly rate}\times\textrm{Number of hours worked}$$β$$10\times (92-t)$$ Β  Β  β$$\(920-10\ t)$$ Β  Β  [Using distribution]Total amount earned by Michael from both the jobs this month in dollars can be given as β$$\textrm{Amount earned from tutor job+Amount earned from waiter job}$$β$$12\ t+(920-10\ t)$$β$$12\ t+920-10\ t$$β$$2\ t+920$$