Graham Gonzalez
07/08/2024 · Elementary School
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) 4 5 6
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Tutor-Verified Answer
Step-by-step Solution
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 \( t = 0 \).
Substituting \( t = 0 \) into the function:
\[
y = 4(6)^0
\]
Since \( (6)^0 = 1 \):
\[
y = 4 \cdot 1 = 4
\]
Thus, the \( y \)-intercept is \( 4 \). This means that initially, 4 people watched the video.
So, the answer is:
**4**
Quick Answer
The initial number of people who watched the video is 4.
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