Question

Suppose that we began with 2 flies and after the 90 day (3 month) experiment, there were

248.000 flies. What is the rate of change between 0 to 90 days? (round to the nearest
hundredth)
Enter answer flies per day

Answer 1

the rate of change between 0 to 90 days is 2.74 i.e. 2.74 flies per day !

Explanation:

Here we have , Suppose that we began with 2 flies and after the 90 day (3 month) experiment, there were 248.000 flies. We need to find What is the rate of change between 0 to 90 days . Let's find out:

We know that for a function f(x) , rate of change of function over interval [a,b] :

⇒
`Rate = (f(b)-f(a))/(b-a)`

Applying the same concept here with following parameters as :

[a,b] = [0,90]

`f(0)=2\\f(90)=248`

⇒
`Rate = (f(90)-f(0))/(90-0)`

⇒
`Rate = (248-2)/(90)`

⇒
`Rate = (246)/(90)`

⇒
`Rate = 2.74`

Therefore , the rate of change between 0 to 90 days is 2.74 i.e. 2.74 flies per day !