Question

Julio is paid 1.2 times his normal hourly rate for each hour he works over 32 hours in a week. Last week he worked 35 hours and earned $494.84. Enter and solve an equation to find Julio's normal hourly rate, r. Complete the explanation of how you know that your answer is reasonable.

The earnings equation is $494.84 =
Julio's hourly rate is $___ per hour.
This is reasonable because working 35 hours at a rate of $___ per hour is ___ and $___ is close to $494.84.

Answer 1

To find Julio's normal hourly rate, set up an equation using the given information and solve for r. The normal hourly rate is $14.14 per hour.

Step-by-step explanation:

To find Julio's normal hourly rate, we can set up an equation using the given information. Let r represent Julio's normal hourly rate. Since he earns 1.2 times his normal hourly rate for each hour he works over 32 hours, we can write the equation:

494.84 = r(32) + 1.2r(35-32)

Simplifying the equation, we get:

494.84 = 32r + 3r

Combining like terms, we have:

494.84 = 35r

Dividing both sides by 35, we find:

r = 14.14

Therefore, Julio's normal hourly rate is $14.14 per hour.