Let's break down the earnings for Amy and Ben:
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Amy's Earnings: Amy's total earnings for the week can be calculated as: \[ \text{Amy's Earnings} = 12 \times a \]
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Ben's Earnings: Ben's total earnings will include his regular pay plus his overtime pay. His regular pay is calculated as: \[ \text{Ben's Regular Earnings} = 12 \times b \] Adding his overtime pay of $46: \[ \text{Ben's Total Earnings} = 12 \times b + 46 \]
Now, to find the total amount of money they will make this week: \[ \text{Total Earnings} = \text{Amy's Earnings} + \text{Ben's Total Earnings} \] \[ \text{Total Earnings} = (12 \times a) + (12 \times b + 46) \] \[ \text{Total Earnings} = 12a + 12b + 46 \]
Based on this breakdown, here are some possible true statements you might find related to their earnings:
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Amy earns $12 per hour for each hour she works.
- This is true.
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Ben earns $12 per hour for each hour he works plus an additional $46 from overtime.
- This is also true.
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The total amount they earn together can be expressed as \(12(a + b) + 46\).
- This is true as well, as it simplifies from \(12a + 12b + 46\).
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If Amy works more hours than Ben, she will make more than Ben.
- This statement is not always true because Ben's overtime pay can significantly increase his total earnings.
Therefore, the two statements that are true would be:
- Amy earns $12 per hour for each hour she works.
- Ben earns $12 per hour for each hour he works plus an additional $46 from overtime.
If you have specific statements provided, please share them for more tailored answers!