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

15 feet
15 feet

20 feet
20 feet

40 feet
40 feet

Answer 1

The formula $y=-16t^2+40$ models the height $y$ of an egg protection contraption at time $t$ seconds after being dropped.

To interpret this formula in terms of the height of the school’s roof, we look at the initial height at $t=0$.

Substituting $t=0$ into the equation:

$$y=-16(0{)}^2+40=40$$

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

Thus, the correct interpretation of the height of the school's roof is:

40 feet.