Lesson 7

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Lesson 7.7F’08

Objective: To solve application problems invol= ving

= rational expressions.

= To solve problems involving direct and

= indirect variation.

Set up an equation and use it to solve each prob= lem.

1. In the Mississippi River near New= Orleans the Creole Queen paddleboat travels 4 miles upstream in the same amount of = time it travels 6 miles downstream. If the current of the river is 2 miles per hour, determine the speed of the Cr= eole Queen in still water.

2. Steve traveled 1600 miles by comme= rcial jet from Kansas City to Spokane. He then traveled an additional 500 miles on a private propeller plane from Spokane to Billings. If the speed of the jet was 4 time= s the speed of the propeller plane and the total time in the air was 6 hours, determine the speed of each plane.

3. A Boeing 747 flew from San Francisco to Honol= ulu, a distance of 2800 miles. Fly= ing with the wind, it averaged 600 miles per hour. When the wind changed from a tailw= ind to a headwind, the plane’s speed dropped to 500 miles per hour. If the total time of the trip was 5 hours, determine the length of time it flew at each speed.

Direct variation: Two variables y and= x are in direct variation if

y =3D kx, where k is a constant.

1. If x varies directly as y and x = =3D 15 when y =3D 27, what is the

value of x when = y =3D 54?

2. The distance a car can travel vari= es directly with the amount of gas it carries. On the highway, a Jeep travels 112= miles using 7 gallons of fuel. How = many gallons are required to travel 240 miles?

Inverse variation: Two variables, y an= d x, are in inverse variation

= if y =3D .

3. If x varies inversely as y and x i= s 6 when y is 1.5, what is x

when y is 9?

4. The volume of a container is inver= sely proportional to the pressure. If a container has a volume of 60in³when the pressure is 20psi, what= is the pressure when the volume is 40in³?

Class work Worksheet = section 7.7

Homework Math XL sections 7.7 try the Practice Exam = 1

DUE BY__________________

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