Question

Population in a Small Town, USA was 5,054 in 2007. The populations increase by 2% annually. Show and explain all work.

a. Write the exponential growth function to represent this function.

b. What will the population be in 2032? Round your answer to the nearest person


WILL MARK BRAINLIEST!!

Answer 1

Answer: a. $f(x)=5054(1.02)^x$

b. The population in 2032 will be 8292.

Step-by-step explanation:

Exponential growth equation: $y=a(1+r)^x$, where a = initial value , r = growth rate, x = time period

Given: a = 5054 , r= 0.02

a. Required exponential growth function: $f(x)=5054(1+0.02)^x$

$f(x)=5054(1.02)^x$

b. For 2032, x= 25

$f(25)=5054(1.02)^{25}$

$\approx8291.62\approx8292$

The population in 2032 will be 8292.