Answered

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

Verified Answer :

Expotential Growth for Apex

Answer:

The type of function that represents this pattern is:

Option: C)

C.) Exponential growth.

Step-by-step 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.