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Nine days ago the area covered by a bread mold was 3 square inches. Now, the mold covers 9 square inches. What is the rate of change in the mold area?

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Detailed Solution

Given

Initial area (9 days ago): 3 in²
Current area: 9 in²
Time interval: 9 days

Step 1: Change in areaa

ΔA = A_final − A_initial = 9 − 3 = 6 in²

Step 2: Rate of change

Rate = ΔA / Δt = 6 / 9 = 2/3 in² per day

Answer

The rate of change is 2/3 square inches per day.

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