Question

An advertising company claims that the number of people who see its addoubles each week. When the ad was released, only the 8 employees whoworked on the ad saw it. The number of people, p, who saw the ad in week tisp(t) = 8. 2tOn a piece of paper, graph p(t) = 8:27. Then determine which answer choicematches the graph you drew.р40O A.20

Answer 1

The answer choice that matches the graph plotted is in option B

Features of the graph

Some basic feature of the graph is gotten from the problem statement

"When the ad was released, only the 8 employees who worked on the ad saw it" this means that y intercept is 8. That is point (0, 8) is on the graph

To pick from graph in A or in B we consider that:

Plotting the equation p(t) = 8 *
`2^(t)` shows that, at p(t) = 20 t is not up to 1. This cancels option A and we are left with option B

Option B is the graph for the function.

Answer 2

we hve the exponential function

P(t)=8(2^t)

The intial value (Value of P(t) when the value of t=0)

For t=0

P(t)=8 -----------> y-intercept is (0,8)

For t=1

P(t)=8(2^1)=16 --------> point (1,16)

therefore

The answer is the graph A