Question

Could someone find the expression?

Answer 1

Answer:

Total earned(in dollars) $=2\ t+920$

Step-by-step explanation:

Given:

Michael's hourly rate working as a tutor = $12 per hour

Michael's hourly rate working as a waiter = $10 per hour

Total 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.

∴ Number of hours Michael works as a waiter this month will be $=(92-t)$ hours.

Amount earned by Michael this month from tutor job

⇒$\textrm{Hourly rate}\times\textrm{Number of hours worked}$

⇒$12\times t$

⇒$\ 12\ t$

Amount earned by Michael this month from tutor job

⇒ $\textrm{Hourly rate}\times\textrm{Number of hours worked}$

⇒$10\times (92-t)$    

⇒$\ (920-10\ t)$     [Using distribution]

Total amount earned by Michael from both the jobs this month in dollars can be given as

⇒$\textrm{Amount earned from tutor job+Amount earned from waiter job}$

⇒$12\ t+(920-10\ t)$

⇒$12\ t+920-10\ t$

⇒$2\ t+920$