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

$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.

Step-by-step 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.