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

15 feet
15 feet

41 feet
41 feet

40 feet
40 feet

20 feet

Answer 1

The formula provided, $y=-16t^2+40$, is a quadratic equation that models the height $y$ of the egg protection contraption over time $t$ (in seconds) after being dropped.

To interpret the height of the school's roof, we can evaluate the equation at $t=0$ because at that moment (when the contraption is just dropped), the height $y$ represents the height of the roof.

So, substituting $t=0$ into the equation:

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

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

Thus, the correct interpretation is 40 feet.