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

Question

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

41 feet
41 feet

40 feet
40 feet

20 feet
20 feet

15 feet

Answer 1

To interpret the height of the school's roof based on the given equation \(y = -16t^2 + 40\), we can analyze the equation:

In the equation:

• \(y\) represents the height (in feet),
• \(t\) represents the time (in seconds),
• and the constant term, \(40\), indicates the maximum height from which the egg is dropped.

When the time \(t = 0\), the height \(y\) is:

\[ y = -16(0)^2 + 40 = 40 \text{ feet} \]

Therefore, the height of the school's roof can be correctly interpreted as 40 feet.

So, the correct response is:

40 feet.