Question

A population of a city is 422,000 and increases by 12% each year. Use an exponential function to

Answer 1

Answer:

1,044,856

Step-by-step explanation:

To solve this problem, we can use the exponential growth formula which is:

$A = P(1+r)^t$

A = total amount

P = original amount

r = growth rate (decimal)

t = years

Before we plug in the values, don't forget to change 12% to its decimal form.

12% -> $\frac{12}{100}$ -> 0.12

Now, lets plug in the values:

$A=422,000(1+0.12)^8$

$A=1,044,856$

The population of the city after 8 years will be 1,044,856.