Question

If a number of mice living in a field triples each year. what type of function represents this pattern?

A.) Exponential decay
B.) Increasing linear
C.) Exponential growth
D.) Decreasing linear

Answer 1

Expotential Growth for Apex

Answer 2

The type of function that represents this pattern is:

Option: C)

C.) Exponential growth.

Explanation:

It is given that the number of mice living in a field triples each year.

This means that the population of mice is increasing at a constant rate i.e. 3 each year.

So, the function that represent this pattern is a exponential growth.

Also let P(t) be the function that represents the population of mice after 't' years.

Then P(t) is modeled as:

`P(t)=3^tP_0`

where
`P_0` is the initial population of the mice.

Hence, Option: C is the correct answer.

C) Exponential Growth.