Question

Julio is paid 1.1 times his normal hourly rate for each hour he works over 31 hours in a week. Last week heworked 40 hours and earned $539.88.Enter and solve an equation to find Julio's normal hourly rate, r. Complete the explanation how you knowthat your answer is reasonable.The earnings equation is $539.88 =Julio's hourly rate is $per hour.This is reasonable because working 40 hours at a rate of $13 per hour is40 13 40(10 + 3) = 400 + 120 = and s is close to $539.88.

Answer 1

The equation to find the total earned by Julio is:

Total earned = 31 hours*r + 9 hours*1.1*r

Because he works 40 hours, 31 hours paid at a normal rate, and 9 hours paid at 1.1 times his normal rate r.

Replacing the total earned by $539.88 and solving for r, we get:

539.88 = 31*r + 9*1.1*r

539.88 = 31r + 9.9r

539.88 = 40.9 r

539.88/40.9 = r

13.2 = r

Answer: Julio's hourly rate is $13.2 per hour.

This is reasonable because working 40 hours at a rate of $13 per hour is

40(13) = 40(10 + 3) = 400 + 120 = 520 and $520 is close to $539.88

You just need to sum 400 and 120 as:

400 + 120 = 520