Question

The function y=4(6)t
models the number of people who have watched a video after t days. How many people have watched the video after 3 days?

(1 point)
Responses

4
4

72
72

24
24

864

Answer 1

To find the number of people who have watched the video after 3 days using the function \( y = 4(6)^t \), we need to substitute \( t = 3 \) into the equation:

\[
y = 4(6)^3
\]

First, calculate \( 6^3 \):

\[
6^3 = 6 \times 6 \times 6 = 216
\]

Now, substitute this back into the equation:

\[
y = 4 \times 216
\]

Now calculate \( 4 \times 216 \):

\[
4 \times 216 = 864
\]

Thus, the number of people who have watched the video after 3 days is \( \boxed{864} \).