Question

question 6 of 9
a certain forest covers an area of 4200 km³. suppose that each year this area decreases by 8.25%. what will the area be after 1.1 years? round your answer to the nearest square kilometer.

Explanation:

Step1: Identify decay formula values

Initial area $a=4200$, decay rate $r=0.0825$, time $t=13$

Step2: Calculate remaining rate factor

$1-r = 1-0.0825 = 0.9175$

Step3: Compute decay term

$(0.9175)^{13} \approx 0.3401$

Step4: Find final forest area

$4200 \times 0.3401 \approx 1428.42$

Step5: Round to nearest integer

Round $1428.42$ to 1428

Answer:

1428 square kilometers