An animal population is increasing at a rate of 150+20t animals per year. By how much does the animal population increase between year 5 and year 8?
To find the increase in the animal population between year 5 and year 8, we need to calculate the difference in population at those two points in time.
First, let's calculate the population at year 5:
To find the population at any given year, we use the formula: P = 150 + 20t, where P represents the population at time t.
So, plugging in t = 5, we have:
P5 = 150 + 20(5) = 150 + 100 = 250 animals.
Next, let's calculate the population at year 8:
Using the same formula and plugging in t = 8, we have:
P8 = 150 + 20(8) = 150 + 160 = 310 animals.
To find the increase in population between year 5 and year 8, we subtract the population at year 5 from the population at year 8:
Increase = P8 - P5 = 310 - 250 = 60 animals.
Therefore, the animal population increases by 60 animals between year 5 and year 8.