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 total population at year 8 and subtract the total population at year 5.
First, let's determine the total population at year 8:
The rate of increase is given by the formula: 150 + 20t, where t represents the number of years.
To find the total population at year 8, substitute t = 8 into the formula:
Total population at year 8 = 150 + 20(8)
= 150 + 160
= 310 animals per year
Next, let's determine the total population at year 5:
Substitute t = 5 into the formula:
Total population at year 5 = 150 + 20(5)
= 150 + 100
= 250 animals per year
Now, to find the increase in the animal population between year 5 and year 8:
Increase in population = Total population at year 8 - Total population at year 5
= 310 - 250
= 60 animals per year
Therefore, the animal population increases by 60 animals between year 5 and year 8.