Question

The population of a city is 35,400. The population is expected to grow at a rate of 2% each year. Which function equation represents the population of the city after t years?

Answer 1

population in t years = 35,400 * (1 + 0.02)^t

Answer 2

Answer:
`f(t)=35400(1.02)^t`

Explanation:

The exponential growth function is given by :-

`f(t)=A(1+r)^t`...(i)

, where A = initial value , r= rate of growth ( in decimal) and t is time (usually in years).

Given,The population of a city is 35,400. The population is expected to grow at a rate of 2% each year.

i.e. A= 35,400

r=2%=0.02 [we divide percent by 100 to convert it into decimal]

Substitute all values in (i), we get the function represents the population of the city after t years :

`f(t)=35400(1+0.02)^t\\\\f(t)=35400(1.02)^t`