Question

Try this one → Trent is observing the growth of an insect population. He started with 125 insects and the

population doubles every month. Use x to represent the numbers of months and y to represent the insect
population. Create an equation to represent this scenario.
What is the difference between orowth & deroy functione

Answer 1

Explanation:

x represents the numbers of months and y represents the insect

population.

We are told that:

1) we start with 125 insects, and

2) the rascals double each month

Lets use m for months they double from the start of 125 insects.).

We can form an equation that will predict the insect population as a function of the numbers of months, m, from the start (125 insects).

Month 0 is 125

Month 1 would be 125*(1+1) or 125*2

We can rewrite this as 125*2^1

Month 2 125*2^2 [It dounbes again]

Month 3 125^3 [It dounbes yet again]

Month 4 125^4 [And again]

Month 5 125^5 [And so on to Infinity and Beyond]

The pattern is 125*(2)^m. where m is months since the starting month of 0.

Insect Population(m) = 125*(2)^m

See the attached graph.