Question

Suppose a population of 50 crickets doubles in size every 4 months. How many crickets will there be after 5 years?

1,500 crickets

1,600 crickets

2,000 crickets

1,638,400 crickets

Answer 1

Starting population of crickets is 50. It doubles in size every 4 months.

5 years = 60 months

60 : 4 = 15

The equation is:

f ( x ) = 50 * 2^x ( an exponential function )

f ( 15 ) = 50 * 2^15 = 50 * 32,768

f ( 15 ) = 1,638,400

Answer: A ) 1,638,400

Answer 2

The answer is 1,500 crickets