Question

a city has a population of 340,000 people suppose each year the population grows by 7% what will rhe population be after 12 years? Round to the nearest whole number

Answer 1

So this is going to be an exponential equation, which the format is $y=ab^x$ , in which a is the initial value and b is the growth/decay rate.

In this case, a is going to be 340,000 and b is going to be 107%, or 1.07, since the population is going to be increasing by 7% and the equation is now $y=340000(1.07)^x$ .

Now replace x with 12 and solve.

$y=340000(1.07)^{12}$

Solve $1.07^{12}$, and then if you don't round that answer and multiply it with 340000 you get $y=765745$ .