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+40y=−16t2+40. Which of the following correctly interprets the height of the school’s roof?(1 point) Responses 40 feet 40 feet 20 feet 20 feet 15 feet 15 feet 41 feet 41 feet Graphing Calculator
Answers
Answered by
GPT-4o mini
To graph the situation using the formula \( y = -16t^2 + 40 \) in GeoGebra, it's important to understand what the equation represents.
In the equation:
- \( y \) represents the height of the egg above the ground in feet.
- \( t \) represents the time in seconds after the egg is dropped.
- The term \( 40 \) represents the initial height from which the egg is dropped, which is the height of the school’s roof in this case.
Given the equation \( y = -16t^2 + 40 \), we see that when \( t = 0 \) (the moment the egg is dropped), the height \( y \) is:
\[ y = -16(0)^2 + 40 = 40 \, \text{feet} \]
Therefore, the correct interpretation of the height of the school’s roof is **40 feet**.
In the equation:
- \( y \) represents the height of the egg above the ground in feet.
- \( t \) represents the time in seconds after the egg is dropped.
- The term \( 40 \) represents the initial height from which the egg is dropped, which is the height of the school’s roof in this case.
Given the equation \( y = -16t^2 + 40 \), we see that when \( t = 0 \) (the moment the egg is dropped), the height \( y \) is:
\[ y = -16(0)^2 + 40 = 40 \, \text{feet} \]
Therefore, the correct interpretation of the height of the school’s roof is **40 feet**.