Question

On the first day, the area covered by a mold on a piece of bread was 4 square inches. After 8 days,the mold had covered 12 square inches. Find the rate of change in the area covered by the mold.

Answer 1

Answer: one square inch per day

Explanation:

To find the rate of change in the area covered by the mold, we need to calculate the average rate of change over the 8-day period.

The initial area covered by the mold was 4 square inches, and after 8 days, it had grown to cover 12 square inches. Therefore, the change in the area covered was:

12 - 4 = 8 square inches

The average rate of change in the area covered over the 8-day period was:

8 / 8 = 1 square inch per day

Therefore, the rate of change in the area covered by the mold was 1 square inch per day.

Answer 2

To find the rate of change in the area covered by the mold, we can calculate the average rate of change by dividing the change in area by the change in time.

Change in area = Final area - Initial area = 12 square inches - 4 square inches = 8 square inches
Change in time = 8 days - 1 day = 7 days

Rate of change = Change in area / Change in time = 8 square inches / 7 days ≈ 1.14 square inches per day

Therefore, the rate of change in the area covered by the mold is approximately 1.14 square inches per day