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

Answer 1

Answer: d = 10 - 0.03x

The depth of the pond after 8 weeks = 9.76 feet

Explanation:

Let x = Number of weeks

Constant rate of decrease in depth = 3% = 0.03

Initial depth = 10 feet

Depth after x weeks: d = 10 - 0.03x

Hence, the function that best represents the depth of the pond each week :

d = 10 - 0.03x

Put x = 8 in this function

d= 10 -0.03 (8)

=10-0.24

=9.76 feet

Hence, the depth of the pond after 8 weeks = 9.76 feet