Question

A rabbit population of 500 was introduced in a certain county of Eagleville. Biologists observe that the population increases 25% each year. Complete the following:
a. Identify a and b.
b. Write an exponential function that models the situation if the trend continues.
c. How many rabbits will be in Eagleville after 10 years?.

Answer 1

Answer:

c. How many rabbits will be in Eagleville after 10 years?.

Step-by-step explanation:

Answer.

Answer 2

Answer:

Step-by-step explanation:

The exponential growth equation that represents the rabbit population y) after x years is y = 500(1.25)ˣ

Exponential growth is given by:

y = abˣ

where a is the initial value of y, b is the multiplier and b>1, y, x are variables.

Let y represent the total rabbit population after x years.

Since there were 500, introduced hence a = 500. Also the population increases 25% each year, hence:

b = 100% + 25% = 1 + 0.25 = 1.25

y = 500(1.25)ˣ

The exponential growth equation becomes y = 500(1.25)ˣ