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(a) Preston owes \( \$ 2925 \) on his car. If his payments are \( \$ 225 \) a month, how many months will Preston make car payments? Select each of the conceptual models of division that corresponds to this problem. \( \square \) A. Repeated subtraction \( \square \) B. Missing factor \( \square \) C. Partition

Ask by Ball Norris. in the United States
Mar 16,2025

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Preston will make car payments for 13 months. The conceptual models of division that apply are: Repeated subtraction, Missing factor, and Partition.

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The Deep Dive

To determine how many months Preston will be making car payments, we can model the situation using repeated subtraction. This means we take away the monthly payment amount from the total debt until the debt is zero. This model effectively demonstrates how many times \( \$ 225 \) can be subtracted from \( \$ 2925 \) before reaching zero. On the other hand, the missing factor model is also relevant here. In this case, we can express the problem as finding out how many times \( \$ 225 \) goes into \( \$ 2925 \), which corresponds to the division operation of \( 2925 \div 225 \). By solving this, we can directly obtain the number of months of payments.

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