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An exponential relationship is modeled by y = 31(0.81)x , what is the percent rate of change for this function?

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Answer:

19%

Explanation:

An exponential relationship is modeled by y = 31(0.81)^x , what is the percent rate of change for this function?

From the above exponential relationship given, we can see that this exponential relationship is an exponential decrease.

Where the formula:

y = a(1 - r)^t

Where a = Initial amount

r = rate of change in percent

t = time in years

y = a(1 - r)^x = y = 31(0.81)^x

1 - r = 0.81

r = 1 - 0.81

r = 0.19

Converting 0.19 × 100

= 19%

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