Question
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.(5 points)
Responses
6
4
t
cannot be determined
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
Answers
GPT-4o mini
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**
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**