Question

The population of a species of rabbit triples every year. This can be modeled by f(x) = 4(3)x and f(5) = 972. What does the 972 represent?

The starting population of the rabbits
The population of the rabbits after five years
The rate the population increases
The number of years that have passed

Answer 1

972 represent the total population of the rabbits after five yours.
Answer: B

Answer 2

Answer: Second option is correct.

Explanation:

Since we have given that

The population of a species of rabbit triples every year is expressed as

`f(x)=4(3)^x`

Here, Initial population = 4

Rate of growth = 3

Number of years = x

So, we have
`f(5)=972=4(3)^5`

So, it means 972 is the population of the rabbits after 5 years.

Hence, Second option is correct.