Scientists are studying the population of a rare species of primates, known as a Javan gibbons, on the Raja Ampat Islands in Indonesia. They are studying the gibbons on three different islands, Batanta, Misool, and Salawati. The scientists studied the population growth and recorded the data in the table.

Years (x)

Batana
B(x)

Misool
M(x)

Salawati
S(x)

0

2

20

38

1

6

120

81

2

18

420

124

3

54

920

167

4

162

1620

210

5

486

2520

253


What type of function is B(x), linear, quadratic or exponential? Justify your answer and show calculations to support your conclusion.