The annual growth of kyle's butterfly collection is represented by the table. what does the 5 represent?
x 0 2 4
f(x) 5 20 80
a. the number of new butterflies each year
b. the common ratio of butterfly growth
c. the average rate of change of butterfly growth each year
d. the number of butterflies kyle started with

Option D. The number of butterflies Kyle started with

Step-by-step explanation:

In this problem we have

x > the time in years

f(x) > the number of Kyle's butterfly collection

Observing the table

For x=0

f(0)=5 > this is the initial value of butterflies Kyle started with

For x=2

f(2)=20 > the number of butterflies in two years

For x=4

f(4)=80 > the number of butterflies in four years

therefore

5 represent the number of butterflies Kyle started with

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