Question
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=−16t2+40
. Which of the following correctly interprets the height of the school’s roof?(1 point)
Responses
41 feet
41 feet
15 feet
15 feet
40 feet
40 feet
20 feet
20 feet
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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
. Which of the following correctly interprets the height of the school’s roof?(1 point)
Responses
41 feet
41 feet
15 feet
15 feet
40 feet
40 feet
20 feet
20 feet
Skip to navigation
Answers
GPT-4o mini
To interpret the height of the school’s roof using the equation \( y = -16t^2 + 40 \), we need to understand what the variables represent in the context of the problem.
In this equation:
- \( y \) represents the height (in feet) of the egg at time \( t \) (in seconds) after it has been dropped.
- The term \( 40 \) in the equation indicates the initial height from which the egg is dropped.
Since the value of \( y \) (the height) starts at 40 when \( t = 0 \), this means that 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**.
In this equation:
- \( y \) represents the height (in feet) of the egg at time \( t \) (in seconds) after it has been dropped.
- The term \( 40 \) in the equation indicates the initial height from which the egg is dropped.
Since the value of \( y \) (the height) starts at 40 when \( t = 0 \), this means that 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**.