Algebra 2 Ch.9 Notes Page 62 P 62 9-1 Inverse Variation.

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Algebra 2 Ch.9 Notes Page 62 P Inverse Variation

Inverse Variation xy = ky = k/xx = k/y k is the variation constant (k≠0) As one Variable goes UP, The other Variable goes Down Bike Ride

Modeling Inverse Variation Y Varies Inversely with X. x = 3 when y = -5 Write the function that models this variation y = k/x

Identifying Direct and Inverse Variations Is the Variation...(Direct y = kx, Inverse y = k/x, or Neither)??? Write a Function that Models the Direct or Inverse Variations x y x y x y

Example Heart rates and life spans of most mammals are inversely related. Use the data to write a function that models this inverse variation. y = k/x

Joint Variation (Combined Variation) z varies jointly with x and y z varies directly with x and y and inversely with w z varies directly with x and inversely with the product of wy

Example Newton's Law of Universal Gravitation is modeled by the formula F = (Gm 1 m 2 )/(d 2 ). F is the gravitational force between two objects with masses m 1 and m 2, and d is the distance between the objects. G is the gravitational constant. Describe the Variation

Finding a Formula The volume V of a tetrahedron varies jointly with its altitude h and base area B. A tetrahedron with a 5cm altitude and 6cm 2 base has a volume of 10cm 3. What if the formula that models this variation?

HW # P491 #1,4,7,8,12,13,17,18,23,24,27,36,60-62 Pl ease put your name and class period at the top of the homework. Also include the homework number.