The expression \( \frac{4}{5} \div \frac{3}{5} \) represents how many times one quantity is compared to another. Specifically, it's asking how many times \( \frac{3}{5} \) fits into \( \frac{4}{5} \).
Let's analyze each scenario:
A. In this scenario, we are comparing distances from Erica's house to Becky's and Sam's houses. The question asks how many times farther away Sam's house is compared to Becky's house. This scenario involves the same type of comparison as the expression, so it matches.
B. Here, the distances from the bathroom and front door to the living room are being compared, but it asks how many times the bathroom is farther away than the front door, which doesn't align with the expression. This does not match.
C. This scenario is about how much deeper Mr. Fisk needs to saw, which is a subtraction problem (not a division), so it does not match.
D. This scenario compares the time taken for baking and making a panini and asks how much more time is needed for baking. Again, this is a subtraction problem, not a division, so it does not match.
Given this analysis, the most appropriate match for the expression \( \frac{4}{5} \div \frac{3}{5} \) is:
A. Erica is looking at a map of her neighborhood... How many times farther away from Erica's house is Sam's house than Becky's house?