Question

Suppose that the population of deer in a state is 1500 and is growing 2% each year predict the population after 4 years

Answer 1

P=1,500×(1+0.02)^(4)
P=1,623.65

Answer 2

Answer: 1623

Step-by-step explanation:

Given: The population of deer in a state = 1500

The growth rate =2%=0.02

Time period = 4 years

We know that the exponential growth function is represented by

$f(x)=A(1+r)^x$

where, A is the initial amount, r is the growth rate and x is the time period.

Here A =1500 r=0.02 and x=4 years

Thus, the population after 4 years=$f(4)=1500(1+0.02)^4$

$=1500(1.02)^4\\=1500\cdot1.08243216\\=1623.64824\approx1623$ [because the number of dear cannot be in decimal]

hence. the population after 4 years= 1623