Question

Because of the rainy season, the depth in a pond increases 3% each week. Before the rainy season started, the pond was 10 feet deep. What is the function that best represents the depth of the pond each week and how deep is the pond after 8 weeks? Round your answer to the nearest foot. Hint: Use the formula, f(x) = P(1 r)x.

Answer 1

It's not perfectly clear, but you seem to be saying that each week, the
pond becomes 3% deeper than it was THE PREVIOUS WEEK.

If I'm reading that correctly, then the pond is 10-ft deep when the rainy
season begins, and after 'x' weeks later, the depth is

                     D = 10 (1.03)^x            feet.

After 8 weeks, the depth is        D = 10 (1.03)⁸  =  12.67 feet .

                         rounded to the nearest foot,  D = 13 ft.

                

Answer 2

the answer is D

the answer is =13