Question
Which of the following scenarios would use a quadratic equation to solve?
A coach models the trajectory of a ball to find out how high the player is kicking the ball.
A coach models the trajectory of a ball to find out how high the player is kicking the ball.
A child places a quarter into a piggy bank every week.
A child places a quarter into a piggy bank every week.
An accountant models the growth of a savings account that doubles every month to find how much will be in the account in 10 years.
An accountant models the growth of a savings account that doubles every month to find how much will be in the account in 10 years.
The trajectory of a balloon that rises 2 feet per second is modeled to find how high the balloon will be in 5 minutes.
The trajectory of a balloon that rises 2 feet per second is modeled to find how high the balloon will be in 5 minutes.
A coach models the trajectory of a ball to find out how high the player is kicking the ball.
A coach models the trajectory of a ball to find out how high the player is kicking the ball.
A child places a quarter into a piggy bank every week.
A child places a quarter into a piggy bank every week.
An accountant models the growth of a savings account that doubles every month to find how much will be in the account in 10 years.
An accountant models the growth of a savings account that doubles every month to find how much will be in the account in 10 years.
The trajectory of a balloon that rises 2 feet per second is modeled to find how high the balloon will be in 5 minutes.
The trajectory of a balloon that rises 2 feet per second is modeled to find how high the balloon will be in 5 minutes.
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Answered by
GPT-4o mini
Among the scenarios listed, the one that would use a quadratic equation to solve is:
**A coach models the trajectory of a ball to find out how high the player is kicking the ball.**
This scenario involves the motion of a projectile, which is typically described by a quadratic equation due to the parabolic trajectory caused by gravity.
The other scenarios do not involve quadratic equations:
- **A child placing a quarter into a piggy bank every week** describes a linear situation as the total money increases by a fixed amount weekly.
- **An accountant models the growth of a savings account that doubles every month** describes exponential growth, which is modeled by exponential functions rather than quadratic equations.
- **The trajectory of a balloon that rises 2 feet per second** describes linear motion, as the height increases at a constant rate.
**A coach models the trajectory of a ball to find out how high the player is kicking the ball.**
This scenario involves the motion of a projectile, which is typically described by a quadratic equation due to the parabolic trajectory caused by gravity.
The other scenarios do not involve quadratic equations:
- **A child placing a quarter into a piggy bank every week** describes a linear situation as the total money increases by a fixed amount weekly.
- **An accountant models the growth of a savings account that doubles every month** describes exponential growth, which is modeled by exponential functions rather than quadratic equations.
- **The trajectory of a balloon that rises 2 feet per second** describes linear motion, as the height increases at a constant rate.
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