The function y=4(6)^t models the number of people who have watched a video after t

Question

days. Graph the function to determine how many people initially watched the video by finding the y
-intercept.

_ people

Answer 1

To find the initial number of people who watched the video, we need to determine the y-intercept of the function \( y = 4(6)^t \). The y-intercept occurs when \( t = 0 \).

Let's calculate the value of \( y \) when \( t = 0 \):

\[ y = 4(6)^0 \]

Since any number raised to the power of 0 is 1, we have:

\[ y = 4 \cdot 1 = 4 \]

Therefore, the initial number of people who watched the video is:

\[ \text{Initial viewers} = 4 \text{ people} \]