Question

La Quintas population is about 954,000 and is decreasing at an annual rate of 0.1% Predict the population in 50 years

Answer 1

907,450

Explanation:

This is a problem of exponential decay. The population is decreasing at 0.1% per year.

The formula to figure this out is
`A=P(1+r)^t`

Where

A will be the future population (after 50 years)

P is the initial population (which is 954,000)

r is the rate of decrease (which is -0.1% or -0.001)

t is the time in years (which is 50)

Plugging these information into the formula and figuring out A will give us the answer. Shown below:

`A=P(1+r)^t\\A=954,000(1-0.001)^(50)\\A=954,000(0.999)^(50)\\A=907,450.17`

Since fractional/decimal population is not feasible, we round it off.

The population in 50 years would be around 907,450