1. What are the different methods that can be used to solve a quadratic equation in real-world problems? Write your answer in one to two complete sentences. + 2. An arrow is shot vertically up into the air with an initial vertical velocity of 70 m/s. Its height is given by h = -5²+ 70t, where h is in meters and t is in seconds. How high does the arrow go? How long does the arrow stay in flight? 3. A rocket is fired with an initial vertical velocity of 40 m/s from a launch pad 165 m high. Its height is given by the formula h = -5²+ 40t+165, where h is in meters and t is in seconds. How high does the rocket go? How much time is the rocket in flight? 4. You are in business and have a product that sells for $13 that 1,500 people buy each month. You want to increase your revenue and wonder whether you should raise the price in increments of a dollar. For each dollar you raise the price, you lose 100 customers. How many dollars can you increase in price to maximize your revenue, or should you increase in price at all? 5. A group of 4 friends decide to attend a night of dinner and dancing on a cruise ship. The dinner and dance cruise will last 4 hours. The ship travels 18 km upstream and then travels back to the starting point. The river has a current of 2 km an hour. What is the cruise ship's speed and how long was the upstream journey?
1. What are the different methods that can be used to solve a quadratic equation in real-world problems? Write your answer in one to two complete sentences. + 2. An arrow is shot vertically up into the air with an initial vertical velocity of 70 m/s. Its height is given by h = -5²+ 70t, where h is in meters and t is in seconds. How high does the arrow go? How long does the arrow stay in flight? 3. A rocket is fired with an initial vertical velocity of 40 m/s from a launch pad 165 m high. Its height is given by the formula h = -5²+ 40t+165, where h is in meters and t is in seconds. How high does the rocket go? How much time is the rocket in flight? 4. You are in business and have a product that sells for $13 that 1,500 people buy each month. You want to increase your revenue and wonder whether you should raise the price in increments of a dollar. For each dollar you raise the price, you lose 100 customers. How many dollars can you increase in price to maximize your revenue, or should you increase in price at all? 5. A group of 4 friends decide to attend a night of dinner and dancing on a cruise ship. The dinner and dance cruise will last 4 hours. The ship travels 18 km upstream and then travels back to the starting point. The river has a current of 2 km an hour. What is the cruise ship's speed and how long was the upstream journey?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 15CYU
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Transcribed Image Text:1. What are the different methods that can be used to solve a quadratic equation in real-world problems? Write your answer in one to two complete sentences.
+
2. An arrow is shot vertically up into the air with an initial vertical velocity of 70 m/s. Its height is given by h = -5²+ 70t, where h is in meters and t is in seconds. How high does the
arrow go? How long does the arrow stay in flight?
3. A rocket is fired with an initial vertical velocity of 40 m/s from a launch pad 165 m high. Its height is given by the formula h = -5²+ 40t+165, where h is in meters and t is in
seconds. How high does the rocket go? How much time is the rocket in flight?
4. You are in business and have a product that sells for $13 that 1,500 people buy each month. You want to increase your revenue and wonder whether you should raise the price in
increments of a dollar. For each dollar you raise the price, you lose 100 customers. How many dollars can you increase in price to maximize your revenue, or should you increase in
price at all?
5. A group of 4 friends decide to attend a night of dinner and dancing on a cruise ship. The dinner and dance cruise will last 4 hours. The ship travels 18 km upstream and then travels
back to the starting point. The river has a current of 2 km an hour. What is the cruise ship's speed and how long was the upstream journey?
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