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Direct Variation

Direct Variation. Algebra I. What is it?. Two variables ( x and y ) vary directly when the following situation is true: y = k x Constant of variation (k) is any number but zero. Find the constant of variation. What did you notice?.

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Direct Variation

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  1. Direct Variation Algebra I

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

  3. Find the constant of variation.

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

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

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

  7. Easy So Far??  You’ve got this!!

  8. Writing a Direct Variation Model 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.

  9. Writing a Direct Variation Model 1st: v = 88,000 2nd: v = 7, w = 5650 w = ? w = kv

  10. 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?

  11. Homework Time Pg. 237-238 #’s 2 – 8 & 16-32 evens

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