Write a brief scenario that can modeled with a linear equation. AND

Summarize a situation modeled by a quadratic equation.

I am completly lost with these two questions. I understand the difference between these two functins but don't know how to come up with a scenario or a situation.

auto range vs gasoline in the tank. Linear

postion of a baseball just hit off the bat: quadratic

Ok. Can you explain how this is so? Just so I know and understand.

Sure! Here are examples of a linear equation scenario and a quadratic equation situation:

Linear Equation Scenario:
Let's say you are a cashier at a store and you earn a fixed hourly wage of $10 per hour. Your total earnings can be modeled by a linear equation, where "x" represents the number of hours you work and "y" represents your total earnings. The equation would be y = 10x. So, for every additional hour you work, your earnings increase by $10.

Quadratic Equation Situation:
Imagine you are standing on the edge of a cliff and throw a ball into the air. The height of the ball can be modeled by a quadratic equation, where "t" represents time in seconds and "h" represents the height of the ball. The equation would be h = -16t^2 + vt + s, where "v" is the initial velocity of the ball and "s" is the initial height from which the ball was thrown. This equation accounts for the gravitational pull, causing the ball to go up and then come back down.

In this situation, as time passes, the height of the ball changes according to a curved path. Initially, the ball rises, reaches its highest point, and then falls back down due to gravity. A quadratic equation is used to model this scenario because it incorporates both a linear term (vt) and a quadratic term (-16t^2) to represent the motion of the ball.