Question

Julio is paid 1.1 times his normal hourly rate for each hour he works over 30 hours in a week. Last week he

worked 41 hours and earned $606.24.
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 $606.24 =
Julio's hourly rate is $
per hour.
This is reasonable because working 41 hours at a rate of $14 per hour is
41 - 14=41(10 + 4) = 410 + 164 =
and $
is close to $606.24. ​

Answer 1

Julio's hourly rate is $14.4 per hour

Explanation:

Let

r ------> Julio's normal hourly rate

we know that

The linear equation that represent this scenario is

30r+(41-30)(1.1r)=606.24

30r+(11)(1.1r)=606.24

30r+12.1r=606.24

42.1r=606.24

Solve for r

r=606.24/42.1

r=14.4

therefore

Julio's hourly rate is $14.4 per hour

Verify

606.24=30(14.4)+(41-30)(1.1)(14.4)

606.24=432+174.24

606.24=606.24 ------> is ok