Question

The population of ls Vegas Nevada has been increasing at an annual rate of 7.0%. If the population of Las Vegas was 478,434 in 1999, predict its population in 2015

Answer 1

Hello!

The answer is:

The population in 2015 will be 1,412,415.

Why?

Since from the statement we know that the population is increasing, we know that we are working with an exponential growth problem.

We can calculate the exponential growth using the following equation:

$Population(t)=StartPopulation(1+growthpercent)^{t}$

Where,

P, is the population after t (years, months, days or hours)

Start Population, is the starting population.

Growth percent, is the percent of growth

t, is the time elapsed (years, months, days or hours)

So, we are given the following information:

$StartPopulation=478434\\\\GrowthPercent=7(percent)=\frac{7(percent)}{100}=0.07\\\\TimeElapsed=2015-1999=16years$

Now, substituting and calculating, we have:

$Population(t)=StartPopulation(1+growthpercent)^{t}$

$Population(t)=478434(1+0.07)^{16}=141241.5=1412415$

Hence, the population in 2015 will be 1,412,415.

Have a nice day!