Brandee makes an hourly wage. In the last pay period, she earned $800 for regular hours and $240 for overtime hours. Her overtim

Question

2 years ago

11

Brandee makes an hourly wage. In the last pay period, she earned $800 for regular hours and $240 for overtime hours. Her overtim

e rate of pay is 50% more than her regular rate of pay "r". Write and simplify an expression in terms of "r" that represents the number of hours "h" Brandee worked in the pay period. Show your work.

Mathematics

1 answer:

abruzzese [7] · Answer 1 · 2022-06-05T09:09:27+03:00

Answer:

h = 13.333 +693.333/r

Step-by-step explanation:

For h hours, Brandee's pay will be ...

pay = 40r +(h -40)(1.5r) . . . . 40 hours at rate r + overtime (h-40) hours at 1.5r

pay = 40r +1.5hr -60r . . . . . eliminate parentheses

pay = 1.5hr -20r . . . . . . . . . . collect terms

Solving for h, we have ...

pay +20r = 1.5hr . . . . . . . . . . add 20r

h = (pay +20r)/(1.5r) . . . . . . . . divide by 1.5r

For the given pay of 800 +240 = 1040, we have ...

h = (1040 +20r)/(1.5r)

h = 13.333 +693.333/r . . . . . simplify to 2 terms

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<em>Additional comments</em>

You need to know r to find the number of hours Brandee worked. She got paid $800 for a presumed 40-hours of regular time, so made r = $20 per hour. The above formula will tell you she worked 48 hours in the pay period.