Answer:
Total earned(in dollars) [tex]=2\ t+920[/tex]
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 [tex]=t[/tex] hours.
∴ Number of hours Michael works as a waiter this month will be [tex]=(92-t)[/tex] hours.
Amount earned by Michael this month from tutor job
⇒[tex]\textrm{Hourly rate}\times\textrm{Number of hours worked}[/tex]
⇒[tex]12\times t[/tex]
⇒[tex]\$12\ t[/tex]
Amount earned by Michael this month from tutor job
⇒ [tex]\textrm{Hourly rate}\times\textrm{Number of hours worked}[/tex]
⇒[tex]10\times (92-t)[/tex]
⇒[tex]\$(920-10\ t)[/tex] [Using distribution]
Total amount earned by Michael from both the jobs this month in dollars can be given as
⇒[tex]\textrm{Amount earned from tutor job+Amount earned from waiter job}[/tex]
⇒[tex] 12\ t+(920-10\ t)[/tex]
⇒[tex]12\ t+920-10\ t[/tex]
⇒[tex]2\ t+920[/tex]
