Question

directions: write equivalent expressions.

1. quinn and cooper get paid an equal hourly wage of $9 per hour. quinn made an additional $15 in overtime pay. write an expression in two ways that represents the wages of both if q = the number of hours quinn worked and c = the number of hours cooper worked.
2. (partially visible)

Explanation:

Step1: Calculate Quinn's wage

Quinn's wage is her hourly wage times hours worked plus overtime. So Quinn's wage is $9Q + 15$.

Step2: Calculate Cooper's wage

Cooper's wage is his hourly wage times hours worked, so Cooper's wage is $9C$.

Step3: Calculate total wage (First way)

Add Quinn's and Cooper's wages: $(9Q + 15) + 9C$. We can also rearrange terms: $9Q + 9C + 15$.

Step4: Calculate total wage (Second way)

Factor out the 9 from the hourly wage parts: $9(Q + C) + 15$.

Answer:

First expression: $9Q + 9C + 15$ (or $(9Q + 15) + 9C$)
Second expression: $9(Q + C) + 15$