Question

You are paid $ 5.60 an hour with a time-and-a-half pay for all hours you work over 40 hours a week. You work 46 in a week. What is your gross pay?

The alternatives are as follows: a. $257.60 , b. 224.00, c. $274.40 and d. $ 50.40

Answer 1

See a solution process below:

Explanation:

To find your total pay, we first, determine you pay for the first 40 hours:

`40"hrs" xx ($5.60)/"hr" => 40color(red)(cancel(color(black)("hrs"))) xx ($5.60)/color(red)(cancel(color(black)("hr"))) => 40 xx $5.60 =>`

`$224.00`

Next we need to determine how many overtime hours you worked:

`46"hrs" - 40"hrs" = 6"hrs"` of overtime.

Now we can calculate the overtime pay for the week:

`6"hrs" xx 1.5 xx ($5.60)/"hr" => 6"hrs" xx ($8.40)/"hr" =>`

`6color(red)(cancel(color(black)("hrs"))) xx ($8.40)/color(red)(cancel(color(black)("hr"))) => 6 xx $8.40 => $50.40`

We now add the regular pay and the over time pay to find your total pay for the week:

`$224.00 + $50.40 = $274.40`