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?

Answer 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.

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