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=−16t^2+40

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

20 feet
20 feet

40 feet
40 feet

15 feet
15 feet

41 feet

1 answer

To interpret the height of the school’s roof using the equation \( y = -16t^2 + 40 \), we can analyze the given equation where \( y \) represents the height above the ground in feet and \( t \) represents time in seconds.

The equation is a quadratic function that opens downwards (since the coefficient of \( t^2 \) is negative). The term \( +40 \) represents the height at \( t = 0 \), which corresponds to the point in time when the egg is dropped.

Therefore, the height of the school’s roof is 40 feet, which is the maximum height from which the eggs are dropped.

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