Final answer:
Each algebraic expression representing Josh's purchases accurately matches the total money spent provided next to the options A, B, C, and D respectively.
Step-by-step explanation:
The student is asking us to calculate the total money spent given different expressions that represent Josh's purchases, and then to match those to the provided totals. Let's break down each option A, B, C, and D to see which expression adds up to the correct amount.
- A. 2(17) + 4(15) - 2 + 4(12)(7); let's calculate step by step:
- 2(17) = 34
- 4(15) = 60
- 4(12)(7) = 48(7) = 336
- 34 + 60 - 2 + 336 = 428, which matches the total given.
- B. 2 - 17 + 15(4) + 4(7) - 2; simplifying:
- 2 - 17 = -15
- 15(4) = 60
- 4(7) = 28
- -15 + 60 + 28 - 2 = 71, which matches the total given.
- C. 2 + 17 - 15 + 2 + 4(12 + 7); simplifying:
- 2 + 17 - 15 + 2 = 6
- 4(12 + 7) = 4(19) = 76
- 6 + 76 = 82, which matches the total given.
- D. 2(17) + 4(15 - 2) + 4(7); simplifying:
- 2(17) = 34
- 4(15 - 2) = 4(13) = 52
- 4(7) = 28
- 34 + 52 + 28 = 114, which matches the total given.
Therefore, all the provided expressions (A, B, C, and D) match the totals given next to them respectively.