Question

In 2012 the population of a city was 5.92 million in exponential growth was 2.77% per year find the exponential growth function

Answer 1

Answer:

The exponential growth function is $P(x)=5.92(1.0277)^x$

Step-by-step explanation:

Given:

Initial population of a city is, $P_0=5.92\ million$

Exponential growth rate is, $r=2.77\%=0.0277$

Let the population for a given year 'x' be $P(x)$ millions.

Now, the exponential growth of a population is given as:

$P(x)=P_0(1+r)^x$

Plug in 5.92 for $P_0$ and 0.0277 for $r$. This gives,

$P(x)=5.92(1+0.0277)^x\\P(x)=5.92(1.0277)^x$

Therefore, the exponential growth function is $P(x)=5.92(1.0277)^x$.