Suppose a population of 175 crayfish doubles in size every month. the function f (x) = 175 (2x) gives the population after x months. how many crayfish will there be after 1 year?

The first thing we will do in this case is to rewrite the expression correctly.

We have then:

f (x) = 175 * (2 ^ x)

Then, you should know that 1 year contains 12 months.

So we have that for x = 12:

f (12) = 175 * (2 ^ 12)

f (12) = 716800

Answer:

there will be 716800 crayfishes after 1 year