Respuesta :
Carole earned two different payments:
- for 40 regular hours
- for 5 overtime hours at time-and-a-half rate.
And we want to find out her hourly rate. The hourly rate is the amount payid for regular hours, so the regular payment is:
[tex]P_r=40r[/tex]Where "r" is the hourly rate and P_r is the payment for the regular hours.
The time-and-a-half rate menas that the payment for the overtime hours is 50% more than the normal rate, which means we need to multiply the original rate by (100% + 50%) or 1.5. So, the payment for the overtime is:
[tex]P_o=5(1.5r)=7.5r[/tex]The total payment is 451.25 and it is the sum of the regular and the overtime payments, so:
[tex]\begin{gathered} P_r+P_o=451.25 \\ 40r+7.5r=451.25 \\ 47.5r=451.25 \\ r=\frac{451.25}{47.5} \\ r=9.5 \end{gathered}[/tex]So, Carole hourly rate is $9.5 per hour.
