Question

suppose a population of 190 crickets doubles in size every month. the function f(x)=190(2^x) gives the population after x months. how many crickets will be there after 1 year

Answer 1

1 year is 12 months, so x = 12.
190(2^12)
778240

Answer 2

After 1 year population of the crickets will be 778240.

Explanation:

Population of crickets is 190 initially which doubles up in one month.

The function represents the population growth is f(x) =
`190(2)^(x)`

Now we have to calculate the population of the crickets after 1 year.

We will plug in the value of x = 12 months in the function.

f(12) =
`190(2)^(12)`

= 190×4096

= 778240

Therefore, after 1 year population of the crickets will be 778240.