MATH SOLVE

5 months ago

Q:
# Could someone find the expression?

Accepted Solution

A:

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 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 [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]