UNIT 2, LESSON 8 VARIATION. THREE TYPES OF VARIATION.

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Presentation transcript:

UNIT 2, LESSON 8 VARIATION

THREE TYPES OF VARIATION

CONSTANT OF VARIATION Represented by the letter “k”.

DIRECT VARIATION y=kx

DIRECT VARIATION Find an equation of variation where y varies directly as the square of x, and y=12 when x=2.

DIRECT VARIATION Find an equation of variation where y varies directly as the square of x, and y=12 when x=2.

DIRECT VARIATION Find an equation of variation where y varies directly as the square of x, and y=12 when x=2.

DIRECT VARIATION Find an equation of variation where y varies directly as the square of x, and y=12 when x=2.

DIRECT VARIATION Find an equation of variation where y varies directly as the square of x, and y=12 when x=2.

INVERSE VARIATION y=k / x

INVERSE VARIATION Find an equation of variation where y varies inversely as the square of x, and y=3 when x=5.

INVERSE VARIATION Find an equation of variation where y varies inversely as the square of x, and y=3 when x=5.

INVERSE VARIATION Find an equation of variation where y varies inversely as the square of x, and y=3 when x=5.

INVERSE VARIATION Find an equation of variation where y varies inversely as the square of x, and y=3 when x=5.

INVERSE VARIATION Find an equation of variation where y varies inversely as the square of x, and y=3 when x=5.

COMBINED VARIATION y=kxz

COMBINED VARIATION Find an equation of variation where y varies jointly as x and z, and y=42 when x=2 and z=3.

COMBINED VARIATION Find an equation of variation where y varies jointly as x and z, and y=42 when x=2 and z=3.

COMBINED VARIATION Find an equation of variation where y varies jointly as x and z, and y=42 when x=2 and z=3.

COMBINED VARIATION Find an equation of variation where y varies jointly as x and z, and y=42 when x=2 and z=3.

COMBINED VARIATION Find an equation of variation where y varies jointly as x and z, and y=42 when x=2 and z=3.

VARIATION Find an equation of variation where y varies jointly as x and z and inversely as the square of w, and y=105 when x=3, z=20 and w=2.

VARIATION Find an equation of variation where y varies jointly as x and z and inversely as the square of w, and y=105 when x=3, z=20 and w=2.

VARIATION Find an equation of variation where y varies jointly as x and z and inversely as the square of w, and y=105 when x=3, z=20 and w=2.

VARIATION Find an equation of variation where y varies jointly as x and z and inversely as the square of w, and y=105 when x=3, z=20 and w=2.

VARIATION Find an equation of variation where y varies jointly as x and z and inversely as the square of w, and y=105 when x=3, z=20 and w=2.