## You are paid 1.2 times your normal hourly rate for each hour you work over 40 hours in a week. You work 46 hours this week and ear

Question

You are paid 1.2 times your normal hourly rate for each hour you work over 40 hours in a week. You work 46 hours this week and earn \$462.56. What is your normal hourly rate?

in progress 0
20 mins 2023-01-15T05:02:58+00:00 1 Answer 0 views 0

1. An equation is formed of two equal expressions. Your normal hourly rate is \$9.8 per hour.

### What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign ‘=’.
Let the normal hourly rate be represented by x, therefore, the work-over hourly rate is 1.2x.
Given that You work 46 hours this week and earn \$462.56. Now, since you earn 1.2 times above 40 hours, therefore, we can write,
Total earnings = Earning for 40 hours + Earning for above 40 hours
462.56 = 40x + (46 – 40)(1.2x)
462.56 = 40x + 6(1.2x)
462.56 = 40x + 7.2x
462.56 = 47.2x
x = 462.56 / 47.2
x = 9.8
Hence, your normal hourly rate is \$9.8 per hour.