Question

A population of a certain city increases exponentially at a rate of 6.5%. Initially, it is 1.50 million. After how many years will the population reach 2.31 million?6.5466.643 6.1236.142

Answer 1

Given that

The population of a certain city is 1.50 million initially and it gets increased by 6.5% exponentially. And we have to find the number of years in which the population becomes 2.31 million.

Explanation -

The formula for the exponential growth is given as

`\begin{gathered} f(x)=a(1+r)^x \\ where\text{ f\lparen x\rparen is the final amount, a = initial amount, r = rate and x = time period} \end{gathered}`

Here we have f(x) = 2.31 million, a = 1.50 million , r = 6.5% and x = ?

So let the time be t.

Then, on substituting the values we have