To find the y-intercept of the function \( y = 4(6)^t \), we can set \( t = 0 \) because the y-intercept occurs when \( t \) equals zero.
Calculating the y-intercept:
\[ y = 4(6)^0 \]
Since \( (6)^0 = 1 \):
\[ y = 4 \times 1 = 4 \]
Thus, the y-intercept is \( 4 \). This means that initially, \( 4 \) people watched the video when \( t = 0 \).
Conclusion
The number of people who initially watched the video is 4 people.