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 population at year 8 and subtract the population at year 5.
Let's first find the population at year 5. We can use the given rate of increase equation: 150+20t.
Substituting t = 5 into the equation, we get:
Population at year 5 = 150 + 20 * 5 = 150 + 100 = 250 animals.
Next, let's find the population at year 8. Again, we use the rate of increase equation:
Population at year 8 = 150 + 20 * 8 = 150 + 160 = 310 animals.
To determine the increase in population between year 5 and year 8, we subtract the population at year 5 from the population at year 8:
Increase in population = Population at year 8 - Population at year 5
= 310 - 250
= 60 animals.
Therefore, the animal population increases by 60 animals between year 5 and year 8.