Question

Julio is paid 1.2 times his normal hourly rate for each hour he works over 31 hours in a week. Last week he worked 41 hours and earned $550.40.

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 $550.40 = .

Julio's hourly rate is $
per hour.

This is reasonable because working 41 hours at a rate of $13 per hour is 41 · 13 = 41(10 + 3) = 410 + 123 =
, and $
is close to $550.40.

Answer 1

Julio's hourly rate is $12.80 per hour.

Explanation:

Julio is paid 1.2 times his normal hourly rate for each hour he works over 31 hours in a week.

Let his hourly rate be r

So, when he works 41 hours, he gets paid $550.40

Equation forms :

`31r+10(1.2r)=550.40`

Solving for r now;

`31r+12r=550.40`

`=> 43r=550.40`

r = 12.8 dollars per hour

Hence, Julio's hourly rate is $12.80 per hour.

Answer 2

Let Julio's normal hour rate is $x .

So we have

`31x + (41-31)*1.2 x = 550.40 \\ 31x +10*1.2x = 550.40 \\ 31x+12x = 550.40 \\ 43x= 550.40 \\ x = (550.40)/(43)=$12.80`

So Julio's hourly rate is $12.80.

And this is reasonable , since working 41 hours at a rate of $ 13 per hour is

`=41(10+3)=410+123=533`

is close to 550.40 .