Question

cassidy raises chickens. the population of her flock can be modeled by the function (f(x) = 20(1.05)^x) where (f(x)) is the total number of chickens in cassidys flock and (x) is the number of months cassidy has had her flock. which of the following statements about cassidy and her flock of chickens is true?

select the correct answer

the growth rate of cassidys flock is 5.

the decay factor of cassidys flock is 5.

the growth factor of cassidys flock is 5.

the decay rate of cassidys flock is 5.

Explanation:

Identify the exponential model

Using the Exponential Functions knowledge point

$$ f(x) = 20(1.05)^x $$

Define exponential growth parameters

An exponential growth function is written as \(f(x) = a(b)^x\), where \(a\) is the initial value, \(b\) is the growth factor, and \(r\) is the growth rate such that \(b = 1 + r\).

Calculate the growth rate

Using the Exponential Functions knowledge point

$$
LATEXBLOCK0
$$

Answer:

• The growth rate of Cassidy's flock is 5%. (Correct answer)
• The decay factor of Cassidy's flock is 5.
• The growth factor of Cassidy's flock is 5.
• The decay rate of Cassidy's flock is 5.