Hobbs Reid
04/06/2023 · Middle School
Question A high school freshman decided to start saving for college. When this decision was made, the savings account had a balance of \( \$ 872 \). After 25 weeks, the balance of the account was \( \$ 2372 \). What is the slope in this situation? Do not include units in your answer.
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To find the slope in this situation, we need to determine the change in the balance of the savings account over the change in time (number of weeks).
The initial balance of the account is \( \$872 \) and after 25 weeks, the balance is \( \$2372 \).
The change in balance is:
\[ \Delta \text{Balance} = \$2372 - \$872 = \$1500 \]
The change in time is:
\[ \Delta \text{Time} = 25 \text{ weeks} \]
The slope (rate of change) is the change in balance divided by the change in time:
\[ \text{Slope} = \frac{\Delta \text{Balance}}{\Delta \text{Time}} = \frac{\$1500}{25 \text{ weeks}} \]
Now, let's calculate the slope:
\[ \text{Slope} = \frac{\$1500}{25} = \$60 \]
So, the slope in this situation is \( \$60 \).
Quick Answer
The slope is \( \$60 \).
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