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Direct Variation and Domain Analysis Exercise

Practice finding domain, range, and working with direct variation in linear functions. Solve commission and calorie-related problems. Identify if y varies directly with x and find the constant of variation.

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Direct Variation and Domain Analysis Exercise

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  1. Bellwork due in a minute! Williams, Ozie 36 3 19 1 1 8 7 4 5

  2. Find the domain and range of the following: D: [ , ] R: [ , ] (3,4) (-2,10) (0,0) (6,8) D: [ , ] R: [ , ]

  3. Direct Variation! a linear function defined by an equation of the form y=kx where k=0 and k is the constant of variation

  4. Does y vary directly with x? y x = y x = y x = k=

  5. Does y vary directly with x? y x = y x = y x =

  6. Does y vary directly with x? If so, what is the constant of variation and the function?

  7. A salesperson's commission varies directly with sales. For $1000 in sales, the commission is $85. What is the commission for $2300 in sales? Input: Output: y x =

  8. The number of calories varies directly with the mass of cheese. If 50 grams of cheese contain 200 calories, how many calories are in 70 grams of cheese? Input: Output: y x =

  9. In your seats, do the following in your book: (homework grade for the day)

  10. GROUP exit ticket -Determine whether y varies directly with x. If so, find the constant of variation k and write the equation. y x x y 3 6 5 10 8 16 9 18 = y x = y x =

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