The function y = 3(2)t

Question

models the number of people who visit a haunted house since it opened after t hours.

Graph the function using desmos to determine how many people initially visited the haunted house when it opened by finding the y-intercept.

(1 point)
The y intercept is at (0,
).

Answer 1

To find the y-intercept of the function \( y = 3(2)^t \), we need to evaluate the function at \( t = 0 \):

\[ y = 3(2)^0 \]

Since \( 2^0 = 1 \), we have:

\[ y = 3 \cdot 1 = 3 \]

Thus, the y-intercept is at the point \( (0, 3) \).

So, the final answer to your question is:

The y intercept is at \( (0, 3) \).