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 !

Step-by-step 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] :

⇒ $Rate = \frac{f(b)-f(a)}{b-a}$

Applying the same concept here with following parameters as :

[a,b] = [0,90]

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

⇒ $Rate = \frac{f(90)-f(0)}{90-0}$

⇒ $Rate = \frac{248-2}{90}$

⇒ $Rate = \frac{246}{90}$

⇒ $Rate = 2.74$

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