Subjects algebra

Alice Art Cost 956Fc0

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1. **State the problem:** We need to find which expressions correctly represent the total amount of money Alice spends after attending 8 art classes, where each class she buys a bottle of juice for $1.25 and a bag of pretzels for $0.85. 2. **Understand the problem:** Each class, Alice spends $1.25 + 0.85$ dollars. After 8 classes, the total amount spent is 8 times the sum of these two amounts. 3. **Write the formula:** Total cost after 8 classes = $8 \times (1.25 + 0.85)$ 4. **Evaluate the expressions given:** - $8(1.25)(0.85)$ means 8 times 1.25 times 0.85, which is not correct because the juice and pretzels costs should be added, not multiplied. - $8(1.25 + 0.85)$ correctly represents 8 times the sum of the costs. - $8(1.25) + 8(0.85)$ is equivalent to $8 \times 1.25 + 8 \times 0.85$, which simplifies to $8(1.25 + 0.85)$, so this is correct. - $8 + 1.25 + 0.85$ adds 8 to the costs, which is incorrect. - $(8 + 1.25) + (8 + 0.85)$ adds 8 to each cost separately, which is incorrect. 5. **Conclusion:** The correct expressions are: - $8(1.25 + 0.85)$ - $8(1.25) + 8(0.85)$ 6. **Final answer:** The expressions that represent the amount of money Alice spends after 8 classes are: $$8(1.25 + 0.85) \quad \text{and} \quad 8(1.25) + 8(0.85)$$