Julio is paid 1.4 times his normal hourly rate for each hour he works over 30 hours in a week. Last week he worked 35 hours and earned $436.60. Write and solve an equation to find Julio's normal hourly rate, r. Explain how you know that your answer is reasonable.

N = regular rate

1.4n = overtime rate

30n + 5 (1.4n) = $436.60 (30 hours x regular rate n) plus 5 hours at 1.4 times reg rate.

30n + 7n = $436.60 now add like terms

37n = $436.60 now divide both sides by 37

n = $11.80

Check to see if my answer is reasonable 30 x 12 = 360 + 5 x 10 x 1.4 = about 70 (notice that I used 10 instead of 12 here so I could do it in my head)

360 + 70 = 430 - close enough - my answer is reasonable

Check:

(30 x $11.80) + 5 (1.4 x 11.80

354 + 5 (16.52)

354 + 82.60 = 436.60 ($436.60)