Question

The function f(x) = 50(0.952)x, where x is the time in years, models a declining feral cat population. How many feral cats will there be in 9 years?


a) about 428 feral cats
b) about 42 feral cats
c) about 51 feral cats
d) about 459 feral cats


I need the answer along with an explanation so that I can know how to solve the other problems on my own :) :) :)

Answer 1

Answer:

A)

Step-by-step explanation:

 Since we are given the function, we can simply plug in the x as 9. So we get 50(0.952)9. Solving this, we get 450(.952) and this is about 428. SO our answer is a) about 428 feral cats.

Answer 2

There will be 428 feral cats in 9 years.

How to find the value of something when a function is given?

We can substitute the given number in the function to find the required value here, years are represented by x. Therefore, we must substitute the value of x = 9 in the function to find the population of feral cats in 9 years.

We can find the population as follows:

The function is given as:

f(x) = 50(0.952)x.

We have to find the number of feral cats in 9 years. Therefore, the value of x is 9.

Now, we can substitute the value of x in the function. This can be done as follows:

f(x) = 50(0.952)x

f(9) = 50(0.952)*9

f(9) = 50(8.568)

f(9) = 428.4

f(9) ≈ 428

We have found the number of feral cats in 9 years. The number of feral cats that will be alive after 9 years is found to be 428.

Therefore, we have found that there will be 428 feral cats in 9 years. The correct answer is option A.

Learn more about modeling functions here: https://brainly.com/question/25987747

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