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? the constant at which the graph “changes”

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

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

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

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?

Exponent Rules Multiplication means add exponents… Why? x 2 ∙x 8 Division means subtract exponents… Why? X 8 /x 2 Negative exponents “switch places”… y∙x - 8 Power to a power: multiply exponents… Why?(x 2 ) 8

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