Question

A population of 240 animals decreases at an annual rate of 10%. Find the multiplier for the rate of exponential decay. a. 1.9. b. 0.9. c. 0.1. d. 1.1.

Answer 1

Answer: . b. 0.9

Explanation:

The general exponential decay function is given by :-

`f(x)=A(1-r)^x`, where A is the initial valuye , r i sthe rate of decay and x is time period.

The multiplicative rate of exponential decay is given by :-

`b=1-r`

Given: the rate of decay = 10 % = 0.1

Then , the multiplier for the rate of given exponential decay will be :-

`1-0.1=0.9`

Hence, the the multiplier for the rate of given exponential decay=0.9

Answer 2

If the population of the animals decreases by 10% every year. This means that the population for the next year is 90% of that in the previous. The multiplier for the rate of exponential decay is therefore 0.90. The answer is letter B.