The annual growth of Kyle's butterfly collection is represented by the table. What does the 5 represent?

Question

x 0 2 4
f(x) 5 20 80
The number of new butterflies each year
The common ratio of butterfly growth
The average rate of change of butterfly growth each year
The number of butterflies Kyle started with

Answer 1

In the given table, the values of \( f(x) \) represent the number of butterflies in Kyle's collection at different points in time, where \( x \) represents the number of years.

At \( x = 0 \), \( f(0) = 5 \). This indicates that Kyle started his butterfly collection with 5 butterflies.

Therefore, the 5 represents the number of butterflies Kyle started with.