00:01
In this problem, it is said that a population of ants has an initial population of 4200.
00:06
12 years later, the population reaches 23 ,000.
00:09
Now, we have been asked to use an explicit exponential model pt is equal to p0 times 1 plus r raised to the power of t to find the rate of growth and the common ratio for this ant population.
00:23
So, pt represents the population after t years, and p0 is the initial population, r is the rate of growth, t is the time in years.
00:32
So, note that it is said that the population reaches 23 ,000 in 12 years.
00:37
So, pt is 23 ,000, p0 is the initial population that is given to be 4200, and we have 1 plus r raised to the power of t.
00:47
What is t? t will be 12 because this happens 12 years later...