Word Problems

1. A model rocket is launched from the deck in Jim's backyard and the path followed by the rocket can be modelled by the relation h=-5t +100t+15, where h, in metres, is the height that the model rocket reaches after t seconds.

a) What is the maximum height reached by the model rocket and how long did the model rocket take to reach this height?

b) How long was the model rocket above 200m, to the nearest second?

2. Twice the width of a rectangle is 3m more than the length. If the area of the rectangle is 209m , find the dimensions of the rectangle.I'm a paragraph. Click here to add your own text and edit me. I’m a great place for you to tell a story and let your users know a little more about you.

3. A football kicked into the air follows a parabolic path described by the equation h=-2(t-3) +9, where h is vertical height in meters, and t is the time in the air in seconds.

a) When does the football reach its maximum height?

b) What is the maximum height reached?

c) What is the height of the ball when punted?

4. A rectangle has a perimeter of 16m, and an area of 14.04m . Determine the dimensions of the rectangle.

5. A police officer is investigating a crime scene. He wants to seal of the area around the scene, with a police tape that is 300m long. What are the dimensions of the max rectangular area? What is the max area?know a little more about you.

6. Calculators are sold to students for $20 each. 300 students are willing to buy them for that price. For every $5 increase in price, there are 30 students fewer that are willing to buy the calculators. What selling price will produce the maximum revenue and what will the maximum revenue be?

7. I'm trying to build a pool in a rectangular shape. Express and simplify the area in terms of x. How much area will the pool take up/what is the area of the rectangle?

8. A company has projected its revenue, represented by R to be described by the equation R=-40(x-2)(x-16), where x represents the number of customers that come through the day.

a) How many customers does the business need in order to have a revenue of 0?

b) How many customers will the business need in order to make the most money. How much money is the most they can make?