A population of 400 beetles grows by 5% each week. How can the beetle population be determined after a number of weeks, w?

For this case we have an equation of the form:

f (w) = A * (b) ^ w

Where,

A: initial amount

b: growth rate

w: number of weeks

Substituting values we have:

f (w) = 400 * (1.05) ^ w

Answer:

the beetle population can be determined after a number of weeks, w, with the following function:

f (w) = 400 * (1.05) ^ w