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The function f(x)=4(2)^x represent the number of people who share a cat video x hours after it first appears on a website. How does the number of people sharing the video change each hour?
A.the number increases by 2 each hour.B. The number doubles each hour.C.the number increases by 4 each hour.D. The number increases by a factor of 4 each hour.

Respuesta :

Answer:

B. The number doubles each hour.

Step-by-step explanation:

Our equation is

f(x) = 4(2)ˣ.

This equation is of the form

y = a(1+r)ˣ, where a is the initial value, r is the growth rate (as a percentage) and x is the number of time periods.

For our problem, the initial value is 4.  Since 1+r = 2, this means r = 1; this means the value increases by 100% each time.  This is the definition of doubling.

The number of people sharing the video doubles each hour, the correct option is B.

What is a Function?

A function is a law that relates a dependent and an independent variable.

The function is f(x) = 4 (2)ˣ

Here x is the hours after it first appears on a website.

f(x) represents the number of people who share a cat video.

After each hour the people sharing the video increases by a multiple of 2 or can be said that it is doubled.

To know more about Function

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