Fionas regular hourly rate of pay is $21.50. She is paid at 1.5 times the regular rate of pay for time exceeding 37.5 hours in a week. calculate her gross earning for a week in which she worked 5,0,7,7,5, 8.5,8, and 7 hours on Saturday to Friday respectively
You should start by setting up equations using what you know.
Here is an equation for how much Fionas is paid per hour when she does not exceed 37.5 hours y= 21.50x. Let y= the amount she is paid and x= the number of hours she work that are equal to or less than 37.5.
When she works over 37.5 hours, "she is paid 1.5 times the regular rate of $21.50". That is she is paid (21.50 x 1.5= 32.25 each hour over 37.5). So y= 21.50x +32.25z. Let z= the number of hours over 37.5.
The problem says that she worked 5, 0, 7, 7, 5, 8.5, 8 and 7 hours. That is a total of 47.5. This is over 37.5 hours, but by how many hours? To figure this out, do 47.5-37.5= 10. So, let z=10 and x=37.5. Plug this into the equation we formulated.
y=21.50 (37.5) + 32.35 (10)
y= 806.25 + 323.50
Fionas gross earning for the week was $1,129.75.
I hope this helps. If you need any clarifications,let me know.