Question

The function y = 3(2)^t
models the number of people who visit an amusement park 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.

The y intercept is at (0, ).

Answer 1

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

\[
y = 3(2)^0
\]
\[
y = 3(1) = 3
\]

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

Therefore, the number of people who initially visited the haunted house when it opened is **3**.