1. A ball is thrown into the air with an initial velocity of 20 m/s from a height of 2 meters. The height of the ball can be represented by the quadratic function h(t) = -4.9t^2 + 20t + 2, where t is the time in seconds. Find the maximum height the ball reaches.
2. A farmer wants to build a rectangular pen for his animals. He has 200 meters of fencing material. Let x be the length of the pen and y be the width. Write a quadratic function for the area of the pen in terms of x.
3. A company sells a product that costs $10 to produce. They sell each unit for $20. Write a quadratic function for the company's profit in terms of the number of units sold.
4. A rocket is launched into the air with an initial velocity of 50 m/s. The height of the rocket can be represented by the quadratic function h(t) = -5t^2 + 50t, where t is the time in seconds. How long does it take for the rocket to reach a height of 100 meters?
5. A car rental company charges $50 per day to rent a car, plus a $20 insurance fee. Write a quadratic function for the total cost of renting a car for x days.
Quadratic functions in context practice
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