Question

1. Mrs. Galicia is building a chicken farm in 2021 with an initial population of 3750 chickens. The farm grows at a rate of 2.15% annually.

(a) Use the exponential growth model to write an equation that estimates the population t years after 2021.
(b) Estimate the population of the town in 2036. *please show plug in step*

Answer 1

Hey there!

a) --›initial number = 3750

--›rate = 2.5%

let y be the population t years after 2021

So, y = 3750(1+2.15) ^ t

=> 3750 × 1.0215 ^ t

b) In 2036,

=> t = 2036 - 2021

=> 15

Substitute into the first value

=> 3750 × 1.0215 ^ t

=> 3750 × 1.0215 ^ 15

=> 5159.

Therefore, the population in 2036 would be 5159