ALGEBRA 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.

Question

ALGEBRA 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.

akgorgeous · Answer

@563blackghost @triciaal

cp123 · Answer

x would be 8 weeks. p would be the y intercept, or starting point, which is 10. just fill them in and solve from there.

cp123 · Answer

the rate, or r, would be 3%, which can be written as a decimal: 0.03. fill that in for r.

triciaal · Answer

3% per week  so the amount is always changing  exponential growth in the downward direction so start amount for the following week is less than the week before 
start with 10 feet   so at week 0 intercept = 10
need to find when no of weeks = 8   substitute x =8

triciaal · Answer

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