Direct Variation Algebra I.  Two variables (x and y) vary directly when the following situation is true: y = kx Constant of variation (k) is any number.

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Presentation transcript:

Direct Variation Algebra I

 Two variables (x and y) vary directly when the following situation is true: y = kx Constant of variation (k) is any number but zero. What is it?

 Find the constant of variation.

 In direct variation models, k is the slope and the slope is k. What did you notice?

 The variables x and y vary directly. What is k if x = 5 and y = 20.  Remember: y = kx Writing a Direct Variation Equation

 What is k is still 4 and x is now equal to 10, what is y?  Remember: y = kx Writing a Direct Variation Equation Ex. 2

 You’ve got this!! Easy So Far??

 In 1852 Henri Giffard built the first airship successfully used for transportation. It had a volume of 88,000 cubic feet and could support 5650 pounds. The Graf Zeppelin II, built in 1937, had a volume of 7,063,000 cubic feet making it one of the two largest airships ever built. The weight an airship can support varies directly with its volume. How much weight could the Graf Zeppelin II support. Writing a Direct Variation Model

 1 st : v = 88,0002 nd : v = 7, w = 5650 w = ? w = kv Writing a Direct Variation Model

 Weight varies directly with gravity. With his equipment Buzz Aldrin weighted 360 pounds on Earth but only 60 pounds on the moon. If Valentina V. Tereshekova had landed on the moon with her equipment and weighed 54 pounds, how much would she have weighed on Earth with equipment? Writing a Direct Variation Model

 Pg #’s 2 – 8 & evens Homework Time