Question

Could someone find the expression?

Answer 1

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

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}*\textrm{Number of hours worked}`

⇒
`12* t`

⇒
`\$12\ t`

Amount earned by Michael this month from tutor job

⇒
`\textrm{Hourly rate}*\textrm{Number of hours worked}`

⇒
`10* (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`