Question

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 40 hours and earned $462.00. Write and solve an equation to find Julio’s normal hourly rate, r. Explain how you know that your answer is reasonable. help me plz

Answer 1

$10.5/hr

The answer is reasonable because when we put it back into the equation, we would get the total amount earned the previous week.

Explanation:

To solve this problem, we need to approach it sentence by sentence:

Julio is paid 1.4 times his normal hourly rate for each hour he works over 30 hours in a week.

Let Julio's normal hourly rate = y

So, 1.4 times his normal hourly rate = 1.4y

For each hour worked above 30hrs, he is paid 1.4y

Last week he worked 40 hours and earned $462.00

Total number of hours worked last week = 40hrs;

Amount earned = $462

Julio worked 10hrs above the normal 30hrs limit, so;

Write and solve an equation to find Julio’s normal hourly rate

30y + 1.4y(10) = 462

30y + 14y = 462

44y = 462

y = 10.5

The number of hours worked = $10.5/hrs

The answer is reasonable because when we put it back into the equation, we would get the total amount earned the previous week.