Respuesta :
Answer:
Hourly rate: $17.
Hourly overtime rate: $25.5.
Step-by-step explanation:
Let x represent Jim's hourly pay.
We have been given that Jim worked 40 hours last week. So amount paid in 40 hours would be [tex]40x[/tex].
We are also told that his over time pay is time-and-a-half rate that is [tex]1.5x[/tex].
The amount earned for working 8 overtime hours would be [tex]8\cdot 1.5x=12x[/tex].
Since Jim's gross pay was $884, so we will equate amount earned in 40 hours and 8 hours of overtime with 884 as:
[tex]40x+12x=884[/tex]
[tex]52x=884[/tex]
[tex]\frac{52x}{52}=\frac{884}{52}[/tex]
[tex]x=17[/tex]
Therefore, Jim's hourly rate is $17.
Overtime rate would be [tex]1.5x\Rightarrow1.5(17)=25.5[/tex]
Therefore, Jim's hourly overtime rate is $25.5.
