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 \( t = 0 \).
Let's calculate \( y \) when \( t = 0 \):
\[ y = 4(6)^0 \]
Since any number raised to the power of 0 is 1:
\[ y = 4(1) = 4 \]
So, the y-intercept is \( 4 \). This means that initially, 4 people watched the video.
To visualize this, you would graph the function \( y = 4(6)^t \):
- Start at the point \( (0, 4) \) on the y-axis.
- As \( t \) increases, \( y \) will increase rapidly because of the exponential growth factor of 6.
The graph would show a steep rise as \( t \) increases, demonstrating the rapid increase in viewership after the initial 4 people watched the video.
In summary, 4 people initially watched the video.
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