Bell Ringer Learning Target : I can solve an equation for the constant of variation.

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Presentation transcript:

Bell Ringer Learning Target : I can solve an equation for the constant of variation.

Direct Variation

A DIRECT VARIATION IS A FUNCTION IN THE FORM Y = KX WHERE K DOES NOT EQUAL 0. DEFINITION: DIRECT VARIATION

THE CONSTANT OF VARIATION IS K, THE COEFFICIENT OF X. DEFINITION: CONSTANT OF VARIATION

Write and Solve a Direct Variation Equation A. Suppose y varies directly as x, and y = 9 when x = –3. Write a direct variation equation that relates x and y.

B. Use the direct variation equation to find x when y = 15. Write and Solve a Direct Variation Equation

A.–3 B.9 C.–15 D.–5 B. Suppose y varies directly as x, and y = 15 when x = 5. Use the direct variation equation to find x when y = –45. Write and Solve a Direct Variation Equation

B. Dustin ran a 26-mile marathon in 3.25 hours. Graph the equation. A.B. C.D. Write and Solve a Direct Variation Equation

C. Estimate how many hours it would take to jog 16 miles. A.1 hour B. C.16 hours D.2 hours Write and Solve a Direct Variation Equation

Suppose y varies directly as x, and y = 24 and x = 4. Find y when x = 16. Write and Solve a Direct Variation Equation

Suppose y varies directly as x, and y = 36 and x = 2. Find y when x = 6. Write and Solve a Direct Variation Equation

Homework DV Worksheet