Question

Julio is paid 13 times his normal hourly rate for each hour he works over 28 hours in a week. Last week he worked 42 hours and earned $628.32. Enter and solve an equation to find Julio's rate, r. Complete the explanation how you know that your answer is reasonable.

A) Equation: 13(r×14)=628.32
B) Equation: 13(r×14)=628.32
C) Equation: 13(r×14)=628.32
D) Equation: 13(r×14)=628.32

Answer 1

To find Julio's rate, r, the equation is 13(r x 14) = 628.32. By simplifying and evaluating the expression, we find that r is approximately $2.41. This answer is reasonable as it matches Julio's earnings based on the hours worked.

Step-by-step explanation:

To find the rate, r, we can use the equation: 13(r imes 14) = 628.32

First, we simplify the equation by multiplying: 13 imes 14r = 628.32

Then, we divide both sides of the equation by 13 imes 14 to isolate r: r = \dfrac{628.32}{13 imes 14}

By evaluating the expression, we can find the value of r: r \approx 2.41

To check if our answer is reasonable, we can multiply r by the hours worked over 28 hours and see if it matches the earnings of $628.32: 2.41 imes (42 - 28) \approx 34.16

Since 34.16 is close to 628.32, our answer is reasonable.