Question

A bee keeper estimates that his bee population will triple each year. Currently he has 150 bees. Write a function to represent the growth of the keepers bee population over time. Use x to represent the number of bees

Answer 1

The function that would represent the growth of the keepers bee population over time would
`\( x = 150 * 3^n \)`

How to find the function ?

To model the growth of the bee population in the beekeeper's hive, we can use an exponential growth function. The key information here is that the population triples each year. This means the growth factor is 3.

The function would therefore be:

`\( x = 150 * 3^n \)`

The equation is an exponential growth model where:

150 is the initial number of bees.

3 is the growth factor (since the population triples each year).

n is the number of years passed.

For example, to find the bee population after 2 years, you would calculate:

`\( 150 * 3^2 = 150 * 9 \\= 1350 \) bees`

Answer 2

y=3x+150..... i believe