Question

Suppose a population of 250 crickets doubles in size every 6 months. How many crickets will there be after 2 years?

Answer 1

For this case we have a function of the form:

$y = A * (b) ^ x$

Where,

A: initial value

b: growth rate

x: time in months

Rewriting the equation we have:

$y = 250 * (2) ^ {(\frac{1}{6} * x)}$

When 2 years pass, we have 24 months.

Therefore, substituting the value of x = 24 in the given equation we have:

$y = 250 * (2) ^ {(\frac{1}{6} * 24)}\\y = 4000$

Answer:

there will be 4000 crickets after 2 years

Answer 2

If a population of 250 crickets doubles in size every 6 months, there will be approximately 4,000 crickets in 2 years.