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.

The number doubles each Hour Apex :)

Step-by-step explanation:

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.

this is a geometric sequence with common ratio r

r = = = = 3

(a)

to obtain a term in the sequence multiply the previous term by 3

= 3 ← recursive rule

(b)

the n th term of a geometric sequence is

=

where is the first term and r the common ratio

= 6 × ← explicit rule