May’s class is testing their egg protection contraptions by dropping them off the roof of their school. Use GeoGebra to graph the situation using the formula y=−16t2+40

. Which of the following correctly interprets the height of the school’s roof?(1 point)
Responses

20 feet
20 feet

41 feet
41 feet

15 feet
15 feet

40 feet

1 answer

The equation \( y = -16t^2 + 40 \) represents the height \( y \) of the egg protection contraption as a function of time \( t \), where \( y \) is in feet and \( t \) is in seconds.

The \( y \)-intercept of the equation corresponds to the height of the contraption at \( t = 0 \) (the moment it is dropped). By substituting \( t = 0 \) into the equation, we find:

\[ y = -16(0)^2 + 40 = 40 \]

This indicates that the height of the school's roof is 40 feet.

Therefore, the correct interpretation of the height of the school’s roof is 40 feet.