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a population of 430 animals decreases at an annual rate of 21% find the multiplier for the rate of exponential decay

User Franckl
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2 Answers

6 votes

Answer:

0.79

Explanation:

We have been given that a population of 430 animals decreases at an annual rate of 21%. We are asked to find the multiplier for the rate of exponential decay.

We know that an exponential decay function is in form
y=a\cdot (1-r)^x, where,

a = Initial value,

r = Decay rate in decimal form.

Let us convert 21% in decimal form as:


21\%=(21)/(100)=0.21

Upon substituting our given values, we will get:


y=430\cdot (1-0.21)^x


y=430\cdot (0.79)^x

Therefore, the multiplier for the rate of exponential decay is 0.79.

User Omatase
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8.7k points
3 votes
If the population of the animals decreases by about 21% of its current population, it means that the population next year is only 1 - 0.21 or 0.79 of its current population. Thus, the multiplier for the rate of the exponential decay is 0.79. 
User Qrchack
by
7.8k points

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