The function y=4(6)^t

Question

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.(5 points)
Responses

6

4

t

cannot be determined

Answer 1

To find the y-intercept of the function \( y = 4(6)^t \), we need to evaluate the function at \( t = 0 \).

Substituting \( t = 0 \) into the equation:

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

Since any non-zero number raised to the power of 0 is 1, this simplifies to:

\[ y = 4 \times 1 = 4 \]

Therefore, the y-intercept is \( y = 4 \). This means that initially, 4 people watched the video when \( t = 0 \).

The answer is:

4