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Solving Problems Using Direct and Inverse Variation

Solving Problems Using Direct and Inverse Variation. Remember the formulas:. Variation Formulas…. What is the equation for direct variation? What is the equation for inverse variation?. Use Direct Variation. If y = 6 and x = 3, what is the value of y when x = 5?

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Solving Problems Using Direct and Inverse Variation

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  1. Solving Problems Using Direct and Inverse Variation Remember the formulas:

  2. Variation Formulas… • What is the equation for direct variation? • What is the equation for inverse variation?

  3. Use Direct Variation If y = 6 and x = 3, what is the value of y when x = 5? • First decide the formula to use: • Next, solve for k: • Now substitute k and x and solve for y: • y = 10

  4. Use Direct Variation If y = 10 and x = 5, what is the value of y when x = 4? • First decide the formula to use: • Next, solve for k: • Now substitute k and x and solve for y: • y = 8

  5. Use Direct Variation If y = 6 and x = 2, what is the value of y when x = 5? • First decide the formula to use: • Next, solve for k: • Now substitute k and x and solve for y: • y = 15

  6. Use Direct Variation If y = 12 and x = 4, what is the value of y when x = 12? • First decide the formula to use: • Next, solve for k: • Now substitute k and x and solve for y: • y = 36

  7. Use Direct Variation If y = 45 and x = 9, what is the value of y when x = 25? • First decide the formula to use: • Next, solve for k: • Now substitute k and x and solve for y: • y = 125

  8. Use Inverse Variation If y = 10 and x = 5, what is the value of y when x = 2? • First decide the formula to use: • Next, solve for k: • Now substitute k and x and solve for y: • y = 25

  9. Use Inverse Variation If y = .5 and x = 30, what is the value of y when x = 3? • First decide the formula to use: • Next, solve for k: • Now substitute k and x and solve for y: • y = 5

  10. Use Inverse Variation If y = 15 and x = 6, what is the value of y when x = 18? • First decide the formula to use: • Next, solve for k: • Now substitute k and x and solve for y: • y = 5

  11. Use Inverse Variation If y = 2 and x = 8, what is the value of y when x = 4? • First decide the formula to use: • Next, solve for k: • Now substitute k and x and solve for y: • y = 4

  12. Use Inverse Variation If y = 6 and x = 4, what is the value of y when x = 8? • First decide the formula to use: • Next, solve for k: • Now substitute k and x and solve for y: • y = 3

  13. Use Inverse Variation If y = 12 and x = 6, what is the value of y when x = 8? • First decide the formula to use: • Next, solve for k: • Now substitute k and x and solve for y: • y = 9

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