Question

Sarah is conducting a science experiment where she initially has a population of 4 fruit flies. Every week the population triples. She writes the function f(x)=4(3)x to predict the population growth. Which rule can also model the function?

Answer 1

Answer and explanation:

Given that initial population of fruit flies = 4

And population of fruit flies triple every week

If population of fruit flies triple every week then let x represent number if weeks

Therefore function can be modelled thus :

f(x)= 4 + 3x

To demonstrate that the function is correct, we use an example. Now assume population grows for two weeks, using the function:

f(2)= 4+3×2

f(2)= 10

Therefore population grows to 10 fruit flies in 2 weeks based on our function