Mice in the Forest

Question

A group of biologists is surveying the mice population in a forest.  The equation       gives the total number of mice, n, t years since the survey began.  Explain what the numbers 75 and 3 mean in this situation. 

this is functions!! function wise

please help



Answer 1

So every year, the mice population triples, starting with 75 mice.

After the first year, there are 75(3) = 225 mice.

After the second year there are 225(3) = 75(3)(3) = 675 mice

After the third year there are 675(3) = 75(3)(3)(3) = 2025 mice..... and so on

n(t) = 75(3)^t

75 is the original mice population and 3 is per year multiplier of the previous year.

Unless there is a predator or a lack of food, mice will take over the planet!

Answer 2

when t = 0, n = 75(3)⁰ = 75 = number of mice at the time that the survey began

when t = 1, n = 75(3) = 225

when t = 2, n = 75(3)² = 675, etc

the number 3 tells us that the population of mice triples each year.