To determine which statements are true, we need to understand how to calculate Amy and Ben's total earnings for the week.
Let:
- A be the number of hours Amy works.
- B be the number of hours Ben works.
Each earns $12 per hour, and Ben also earns an additional $46 in overtime.
The total pay for each of them can be represented as follows:
- Amy's total pay: \( 12A \)
- Ben's total pay including overtime: \( 12B + 46 \)
Thus, the combined total amount of money they make this week would be:
\[ Total = 12A + (12B + 46) = 12A + 12B + 46 \]
Now, let's evaluate the statements:
A. The expression shows the combined amount of money Amy and Ben made for their hourly work plus the overtime amount.
- This statement aligns with our total calculation. It is True.
B. The expression shows the sum of the amount of money Amy made and the amount of money Ben made.
- Since Ben's overtime is included in his total, this statement is False without specifying overtime.
C. The expression shows the combined amount of money Amy and Ben made for their hourly work plus the overtime amount.
- This is similar to statement A and is True.
D. The expression shows the sum of the amount of money Amy made and the amount of money Ben made.
- Like statement B, this is False unless it specifies that Ben's total includes overtime.
E. The expression shows the sum of the amount of money Amy made and the amount of money Ben made.
- This is also False unless overtime is specified.
Thus, the two true statements are:
- A: The expression shows the combined amount of money Amy and Ben made for their hourly work plus the overtime amount.
- C: The expression shows the combined amount of money Amy and Ben made for their hourly work plus the overtime amount.
So, the correct answers are A and C.