Question

The population of a city increases at a steady rate of 5% of a 400 000 population.Could you develop an algebraic equation of the given population pattern?

Answer 1

P(t)=400000(1+0.05)^{t}

Explanation:

Certainly! The city's population increases at a steady rate of 5% per year. If the initial population is 400,000, you can use the following algebraic equation to represent the population after t years:

`P(t)=P_(0) (1+r)^(t)`

where:

P(t) is the population after t years,

`P_(0)` is the initial population (400,000 in this case),

r is the growth rate (5% or 0.05 as a decimal), and

t is the number of years.

So, the algebraic equation for the given population pattern is:

`P(t)=400000(1+0.05)^(t)`

This equation allows you to calculate the population after years (t) into the future.