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

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. 

Answer 2

Answer: . b. 0.9

Step-by-step 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