Respuesta :

AL2006
How many times will 4 months pass by in a total of 5 years ?

Well, 5 years = 60 months, so 4 months will pass  (60/4) = 15 times.

A number that doubles every 4 months will become  2¹⁵  times as large
during that period of time.

                                (50 crickets) · (2¹⁵)

                         =    (50 crickets) · (32,768)

                         =        1,638,400 crickets.

                                   They should all only
                                   live long and prosper. 


The population of crickets after 5 years will be 1638400.

What is exponential growth function?

"It is a pattern of data that shows greater increases with passing time, creating the curve of an exponential function."

What is exponential growth formula?

f(t) = ab^(t)

where, a is the initial population

t is the time period

For given example,

a population of 50 crickets doubles in size every 4 months.

This means,

initial population (a) = 50 crickets

growth rate (b) = 2

So the exponential growth function will be,

⇒ f(t) = 50 × (2)^t

We need to find the number of crickets after 5 years.

5 years = 60 months

Since, a population of crickets doubles in size every 4 months,

⇒ t = 60/4

⇒ t = 15

So, the population of crickets will be,

⇒ f(15) = 50 2^(15)

⇒ f(15) = 1638400

Therefore, the population of crickets after 5 years will be 1638400.

Learn more about an exponential growth here:

https://brainly.com/question/7693794

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