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.
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: . 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