Question
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Quadratic Functions in Context Quick Check
2 of 52 of 5 Items
Question
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
40 feet
40 feet
41 feet
41 feet
15 feet
15 feet
20 feet
Quadratic Functions in Context Quick Check
2 of 52 of 5 Items
Question
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
40 feet
40 feet
41 feet
41 feet
15 feet
15 feet
20 feet
Answers
GPT-4o mini
The equation \( y = -16t^2 + 40 \) represents the height \( y \) of the eggs in feet as a function of time \( t \) in seconds after being dropped.
In this quadratic equation, the constant term \( 40 \) represents the initial height from which the eggs are dropped. Therefore, the interpretation of the height of the school's roof corresponds to the constant term.
So, the correct interpretation of the height of the school’s roof is:
**40 feet**
In this quadratic equation, the constant term \( 40 \) represents the initial height from which the eggs are dropped. Therefore, the interpretation of the height of the school's roof corresponds to the constant term.
So, the correct interpretation of the height of the school’s roof is:
**40 feet**