Chapter 1 Section 5: Problem solving Using Algebraic Models.

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Presentation transcript:

Chapter 1 Section 5: Problem solving Using Algebraic Models

WRITING AND USING A MODEL

The Bullet Train runs between the Japanese cities of Osaka and Fukuoka, a distance of 550 kilometers. When it makes no stops, it takes 2 hours and 15 minutes to make the trip. What is the average speed of the Bullet Train?

A water-saving faucet has a flow rate of at most 9.6 cubic inches per second. To test whether your faucet meets this standard, you time how long it takes the faucet to fill a 470 cubic inch pot, obtaining a time of 35 seconds. Find your faucet’s flow rate. Does it meet the standard for water conservation?

You own a lawn care business. You want to know how much money you spend on gasoline to travel to out-of-town clients. In a typical week you drive 600 miles and use 40 gallons of gasoline. Gasoline cost $1.25 per gallon, and you truck’s fuel efficiency is 21 miles per gallon on the highway and 13 miles per gallon in town.

LOOK FOR A PATTERN

A paramotor is a parachute propelled by a fan-like motor. The table shows the height h of a paramotorist t minutes after beginning a descent. Find the height of the paramotorist after 7 minutes.

Time (min), t012 34

Height (ft), h

DRAW A DIAGRAM

You are hanging four championship banners on a wall in your school’s gym. The banners are 8 feet wide. The wall is 62 feet long. There should be an equal amount of space between the ends of the wall, and between each pair of banners. How far apart should the banners be placed?

THE CHUNNEL: The Chunnel connects the United Kingdom and France by a railway tunnel under the English Channel. The British started tunneling 2.5 Months before the French and averaged 0.63 kilometers per month. The French averaged 0.47 kilometers per month. When the two sides met, they had tunneled 37.9 kilometers. How many kilometers of tunnel did each country build? If the French started tunneling on February 28, 1988, approximately when did the two sides meet? (Hint: There was a Leap Year in 1989).