Solving Problems Involving Direct Variation

T.i.P.S.

Students should understand that two variables show direct variation if y = kx and k is not equal to zero. k represents the constant of proportionality. In the equation, the two variables, y and x, vary directly to each other as they represent proportional relationships.

Example

The number of calories consumed from a fun size piece of candy is directly proportional to the number of candies eaten. If 3 candies contain 24 calories, how many candies would you have to eat to consume 960 calories? Justify your thinking. Hint
Possible Solution

TEKS

Supporting Standard 8.5 Proportionality. The student applies mathematical process standards to use proportional and non-proportional relationships to develop foundational concepts of functions. The student is expected to:

(E) solve problems involving direct variation

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