To find the number of people who initially 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 it:
\[ y = 4(6)^0 \]
Since any number raised to the power of 0 is 1, we have:
\[ y = 4(1) = 4 \]
So, the y-intercept is 4. This means that initially, 4 people watched the video.
To graph the function, you would typically plot the function for various values of \( t \) and see how the number of viewers grows over time. However, for the specific question regarding the initial viewers, we have determined that it is 4.
Therefore, the initial number of people who watched the video is 4.