00:01
Here we predict the total population after four years using this population equation, that is t equals 70 ,000 times 1 plus 0 .07 raised to the power of n.
00:12
So to answer the population after 4 years, we plug in n equal to 4 into the population equation.
00:20
So therefore we get the total population t equals 70 ,000 times this is 1 plus 0 .07.
00:29
This is basically 1 .7.
00:30
This is basically, 1 .07 and raise to the power of n which is 4 here so we can plug this value into the x calculator and when we do that we get 91 ,755 .72 and since we have to approximate to the nearest thousand this is approximately equal to 92 000 so this is total population is 92 000 days.
01:00
Let's do part b.
01:02
Here we are given that the initial population is 30 ,000 and the growth rate is 0 .11.
01:09
And in this case, we have to determine the total population after four, five years.
01:13
So first, let's rewrite this population equation using the information in part b...