00:01
For this question, we are going to use the given model that's on the screen to evaluate and to solve for time.
00:10
For part a, the initial population would be at time t equals zero.
00:20
Evaluate the function at zero.
00:23
Make sure that the denominator is in parentheses and the exponent is in parentheses for correct order of operation.
00:32
When t equals zero, the population is 300.
00:43
For part b, we are interested in the population after five years.
00:50
So now evaluate the function by plugging in a 5 for t.
01:03
And that population would be 570.
01:13
The last thing we are asked to do is to find how much time it takes for the population.
01:20
To reach 800.
01:29
So we are going to multiply both sides of the equation by the denominator, kind of like cross -multifying.
01:49
Divide both sides by 800...