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

15 feet
15 feet

41 feet
41 feet

20 feet
20 feet

40 feet
40 feet

1 answer

To interpret the height of the school's roof using the formula \( y = -16t^2 + 40 \), we should evaluate the formula at \( t = 0 \), since this represents the initial moment when the egg is dropped (at the height of the roof).

Substituting \( t = 0 \):

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

Thus, the height of the school's roof is 40 feet.

Therefore, the correct response is:

40 feet.