Answer:
Every year, the population is increasing by a certain amount. This type of continuous growth is increasing at an increasing rate. Exponential growth.
Explanation:
Let's say the population of Atlanta was 100,000 in year 0. At the end of year 1, it would have grown 3%. 100,000 * 103% = 103,000.
103% because if it were 3%, the population would be shrinking.
at the end of year 2, you take the ending amount of year 1, 103,000*103%=106,090.
Exponential growth is everywhere in the world, population sizes, production, intelligence. The formula f(x)=a(1+r)^x :
f(x): the amount in x years.
a: The starting population.
r: The yearly growth rate.
x: How many years.
If you are given months, convert from years to months.
For example: Detroit is expected to grow 1.1% each year until the year 2029. This means that 8 years would have passed, 2029-2021. You take the starting population, which is roughly 675,000 as of now and input into the exponential formula equation.
f(8)=675,000(1+.011)^8 = 736,738 (Population of Detroit in the year 2029).
.011 because 1.1% is converted to decimal form.