Charles and Stacy work at a shoe store. They are both paid $9 per hour. This week Charles made an extra $32 in overtime. Which expressions represent the weekly wages for Charles and Stacy. c = the number of hours that Charles worked for the week s = the number of hours that Stacy worked for the week. (3 pts) *
a) 9c + 9s + 32
b) (9c + 32) + 9s
c) 9(c + s + 32)
d) 9(c + s) +32
e) (9c + 32) * 9s
f) 9(c + 28) + 9s
Charles' wages = 9c + 32
Stacey's wages = 9s
Total of their wages = 9c + 32 + 9s <----- choice a)
= 9(c+s) + 32 <---- choice d)
So you have 2 correct choices.
Often incorrect choices can be traced to making some error
in order of operation, misunderstanding the problem, ....
I wonder where the 28 in the last choice could possible be
arrived at.
The expression that represents the weekly wages for Charles and Stacy is d) 9(c + s) + 32.
To understand why this is the correct expression, let's break it down:
- Both Charles and Stacy are paid $9 per hour, so to calculate their wages for each week, we need to multiply their respective number of hours worked by 9.
- For Charles, his regular wages are calculated as 9c, where c represents the number of hours he worked.
- Similarly, for Stacy, her regular wages are calculated as 9s, where s represents the number of hours she worked.
- Additionally, Charles made an extra $32 in overtime. Since this amount is not dependent on the number of hours worked by either Charles or Stacy, it can simply be added to their total wages.
- Finally, to find the total weekly wages for both Charles and Stacy, we sum up their regular wages and add the overtime amount: 9(c + s) + 32.
Therefore, option d) 9(c + s) + 32 is the correct expression to represent the weekly wages of Charles and Stacy.