To solve the problem, we can break it into two parts:
Part A: To find the expression that represents the percent change in the family's home size, we use the formula for percent change, which is given by:
\[ \text{Percent Change} = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \]
In this case:
- New Value = 2,400
- Old Value = 1,500
So the expression for Part A will be:
\[ \frac{2,400 - 1,500}{1,500} \]
This corresponds to the option:
- A: the fraction with numerator 2,400 minus 1,500 and denominator 1,500
Part B: Next, we calculate the percent increase from the old home to the new home using the same formula. We can first calculate the difference and then compute the percent increase:
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Calculate the difference in square footage: \[ 2,400 - 1,500 = 900 \]
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Now calculate the percent increase: \[ \text{Percent Increase} = \frac{900}{1,500} = 0.6 \] To convert this to a percentage, multiply by 100: \[ 0.6 \times 100 = 60% \]
Thus, the answer for Part B is:
- B: 60% or B: 60 percent
Final Answers:
- Part A: A: the fraction with numerator 2,400 minus 1,500 and denominator 1,500
- Part B: B: 60% or B: 60 percent