Question

Which of the following scenarios would use a quadratic equation to solve?(1 point)
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.

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.

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.

Answer 1

A coach models the trajectory of a ball to find out how high the player is kicking the ball.

Reason: Projectile motion under gravity is modeled by a quadratic function (height = at^2 + bt + c). The quarter-in-bank is arithmetic (linear), the balloon rising at constant 2 ft/s is linear, and the account doubling monthly is exponential.