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.

f(x) = 10(0.03)x, 36 feet
f(x) = 10(1.03)x, 14 feet
f(x) = 10(1.3)x, 37 feet
f(x) = 10(1.03)x, 13 feet

Can someone please help.

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.

 f(x) = 10(0.03)x, 36 feet
 f(x) = 10(1.03)x, 14 feet
 f(x) = 10(1.3)x, 37 feet
 f(x) = 10(1.03)x, 13 feet

Can someone please help.

anonymous · Answer

last option is correct f(x) = 10(1.03)x where x is the number of time intervals that have passed r is growth rate,since r is given in percentage so we will divide 3 by 100


x should be the power of term (1+r)