Respuesta :

The function y = 4(.97)^x is a decay function by 3%

How to determine the decay rate of the function?

From the question, the equation of the function is given as

y = 4 (.97)

Rewrite the equation properly

So, we have the following representation

y = 4(.97)^x.

The above function is an exponential function

An exponential function is represented as y = ab^x

When y = 4(.97)^x and y = ab^x are compared, we have the following representation

b = 0.97

The value of b in this case is the factor

Also, if b is less than 1, then the function is a decay function

0.97 is less than 1

So, the function represents a decay function

The decay percentage is then calculated as

Decay = 1 - b

So, we have

Decay = 1 - 0.97

Evaluate

Decay = 0.03

Express as percentage

Decay = 3%

Hence, the function decays by 3%

Read more about exponential functions at

brainly.com/question/11464095

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