20 giraffes were introduced to a certain safari and it is expected to double its population every 5 years. How many giraffes will exist after 2 years? How long it would take to increase their population to 60?


Respuesta :

It would take 7.9 years to increase their population to 60.

An exponential function is in the form:

y = abˣ

where a is the initial value of y and b is the multiplier.

Let y represent the number of giraffes after x years.

From the question:

a = 20, b = 2, hence

[tex]y=20(2)^\frac{x}{5} \\\\for\ x=2:\\\\y=20(2)^\frac{2}{5} =26\\\\For\ y=60:\\\\60=20(2)^\frac{x}{5} \\\\2^\frac{x}{5} =3\\\\x=7.9\ years[/tex]

It would take 7.9 years to increase their population to 60.

Find out more on exponential function at: https://brainly.com/question/2456547