Question

Julio is paid 1.2 times his normal hourly rate for each hour he works over 29 hours in a week. Last week he worked 34 hours and earned $434.00. Enter and solve an equation to find Julio's normal hourly rate, r. Complete the explanation how you know that your answer is reasonable. The earnings equation is $434.00 = . Julio's hourly rate is $ per hour. This is reasonable because working 34 hours at a rate of $12 per hour is 34 · 12 = 34(10 + 2) = 340 + 68 = , and $ is close to $434.00.

Answer 1

It is given in the question that,

Julio is paid 1.2 times his normal hourly rate for each hour he works over 29 hours in a week. Last week he worked 34 hours and earned $434.00.

And Julio's normal hour rate is r.

So the earning equation is

$434 = 29r + (34-29)(1.2r)$

$434 = 29r + 5(1.2r) \\ 434 = 29r + 6r \\ 434 = 35 r \\ r = 12.40$

This is reasonable, because working 34 hours with a rate of $12 per hour is

$34*12 = 34(10+2) = 340 +68 = 408$

And $408 is close to $434.