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Direct and Inverse Variation

Direct and Inverse Variation. Investigation #1 Ramp height and length vs time. Direct vs Inverse. “ y varies directly as x " means… y = kx What does that graph look like? “ y varies inversely as x " means… y = k/x What does that graph look like? What is k?

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Direct and Inverse Variation

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  1. Direct and Inverse Variation Investigation #1 Ramp height and length vs time

  2. Direct vs Inverse • “yvaries directly as x" means… y = kx What does that graph look like? • “yvaries inversely as x" means… y = k/x What does that graph look like? What is k? the constant at which the graph “changes”

  3. 1.) y varies directly with x. If y = -4 when x = 2, find y when x = -6. • 2.) y varies inversely with x. If y = 40 when x = 16, find x when y = -5.

  4. Direct, Inverse, or Neither? • g = -7p • v = f / -3 • d = 9 / r

  5. What is the constant of variation (k)? • u = 5m • z = -0.3/r • y = (1/3) f

  6. Real life… (from worksheet) • 26) The electric current I, is amperes, in a circuit varies directly as the voltage V. When 12 volts are applied, the current is 4 amperes. What is the current when 18 volts are applied?

  7. Exponent Rules • Multiplication means add exponents… Why? x2∙x8 • Division means subtract exponents… Why? X8/x2 • Negative exponents “switch places”… y∙x-8 • Power to a power: multiply exponents… Why? (x2)8

  8. Radicals, dude • Treat them like “like terms.” • How would you simplify “3x + 8y – 9x” ? • Simplify 3√5 + 8√7 – 9 √5

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