Suppose the population of a town is 15,200 and is growing 2% each year. Write an equation to model the population growth. Predict the population after 10 years

1. So the current population of the town is 15 200 and is growing per year with 2%.
Find the population number after 10 years.
First, let’s find the value of 2% in decimal form
=> 2/100
=> 0.02

Now, let’s try to solve
Population = 15 200 ( 1 + (0.02 x 10) )
Population = 15 200 ( 1 + 0.2 )
Population = 15 200 + 3040
Population = 18 240
Thus, in 10 years, the town’s population will increase to 18 240.

Answer Link

ikarus ikarus · Answer 2 · 2019-03-28T15:58:40-04:00

Answer:

The equation model is P = Po * e^rt

The population after 10 years = 18, 559 (most approximately)

Step-by-step explanation:

We use formula to find the population growth.

P = Po * e^rt

Where P is the total population after t years

Po is the initial population

r = rate of growth

t = time

e = 2.71 [Euler number]

The equation model is P = Po * e^rt

Now to find the population after 10 years, we have to plug in the given values in the formula.

Given:

Po = 15, 200, r = 2% = 2/100 = 0.02, and t = 10 years

P = 15,200*e^0.02(10)

P = 15,200*2.71^0.2

P = 15,200 *1.221

P = 18, 559

Therefore, the population after 10 years = 18, 559 (most approximately)