The function y=4(6)t

models the number of people who have watched a video after t
days. Graph the function to determine how many people initially watched the video by finding the y
-intercept.(1 point)
people

1 answer

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.