Name______Date______Period______

LINEAR EQUATION APPLICATION WORKSHEET

1.The cost, y, of producing x units of a product is given by y = 35x + 5000.Ifthe cost is$7625, how manyunits are produced?

2.A recipe for holiday bread calls for 6 cups of flour and 2 cups of sugar.Youhaveonly4 ½ cups of flour.You want to reduce the amount of sugar by the same proportion.

Let x represent the amount of sugar you shoulduse.Which of the following is a correct model for this situation?

x

=

2

3.The length of a rectangle is 3 times its width.The perimeter is 16 meters.What isthe width?

4.Suppose you live near a park that has a bike trail you like to ride.The Park Department rents a bike with safety equipment for $5 a day.If you provide yourown safety equipment, the bike rental is $3 a day.You could buy the equipment at a sports storefor $28.How many times must you use thetrail to justify buying your own safety equipment?

5.Suppose you live in South Carolina, where the temperature is 69 degrees F and going up at a rate of 2 degrees F an hour.You are talking on the phone to your friend who lives in Iowa, where the temperature is 84 degrees F and going down at a rate of 3 degrees F an hour.If the temperaturescontinue to change at the same rates, how long would you and your friend have totalk before they would be equal?

6.Youand three friends are eating a pizza with 12 pieces.Each person eats the samenumberof pieces.Let x represent the number of pieces each person eats.Which ofthe following equations is an algebraic model for the situation?

a.3x = 12 b.

7.A rectangle is 1.5 times as large as it is wide.The perimeter of the rectangle is 75 inches.Find the width of the rectangle.

8.You are the supervisor for a construction project to build a subway track.Over one 200-foot (horizontal) portion, the track must rise 3 feet.Youdecide tocheck the elevationafter your crew has covered 50 of the 200 feet.How much should the track have risen over50 feet?

9.You start a daily flower club and charge $10to join and $0.50 per day.Everyday each member of the club gets a fresh flower.Letn represent the number of club membersand let I represent your income for four weeks.A model for the situation is.

Write an input-output table that shows your income for 2, 4, 6, 8 and 10 club members.