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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 equation that best represents the depth of the pond each week? Hint: Use the formula y = P(1 + r)x. y = 10(0.03)x y = 10(0.3)x y = 10(1.3)x y = 10(1.03)x

Respuesta :

rococo908

Answer:

y = 10(1.03)^x

Step-by-step explanation:

In the formula y = p(1 + r)^x, p is the starting amount and r is the growth rate.

In this problem, the starting amount is 10. So, p = 10.

The growth rate is 3% each week, which is the same as 0.03 as a percentage. So, r = 0.03.

Plug these into the equation:

y = 10(1.03)^x will be the equation for this situation

The equation that best represents the depth of the pond each week is y = 10(1.03)× option (D) is correct.

What is an exponential function?

It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a×

where a is a constant and a>1

We have:

A pond increases 3% each week.

The exponential growth is represented by:

y = p(1 + r)×

p = 10 feet

r = 3% = 0.03

y = 10(1 + 0.03)×

y = 10(1.03)×

Thus, the equation that best represents the depth of the pond each week is y = 10(1.03)× option (D) is correct.

Learn more about the exponential function here:

brainly.com/question/11487261

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