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 \( t = 0 \). So, let's substitute \( t = 0 \) into the function:
\[ y = 4(6)^0 \]
Since any non-zero number raised to the power of 0 is 1, we have:
\[ y = 4 \times 1 = 4 \]
Therefore, the y-intercept is \( 4 \). This means that initially, 4 people watched the video when \( t = 0 \).
If you were to graph the function \( y = 4(6)^t \):
- At \( t = 0 \), the point would be (0, 4).
- As \( t \) increases, the number of viewers would grow exponentially due to the base of 6.
In summary, the initial number of people who watched the video is 4.