Which of the following scenarios would use a quadratic equation to solve?

Responses

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.

1 answer

The scenario 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 parabolic path of the ball, which is typically modeled by a quadratic equation due to the effects of gravity on the ball’s motion. The other scenarios involve linear growth or exponential growth, which do not require quadratic equations.