Math Problem Statement

Which is an example of a direct variation?

A. ky = 10

B. y =2/x

C. y = 5x

D. 2/y = x

Solution

An example of direct variation is:

C. y = 5x

In a direct variation, yy varies directly with xx, which means that if xx increases, yy increases in proportion. This relationship can be expressed as y=kxy = kx, where kk is a constant (in this case, k=5k = 5).

Would you like more details on direct variation or any related concepts? Here are some questions to consider:

  1. What is the general formula for direct variation?
  2. How can you identify direct variation from a set of points?
  3. Can direct variation be represented in different forms?
  4. What are some real-world examples of direct variation?
  5. How does direct variation differ from inverse variation?

Tip: Remember that in direct variation, the ratio of yy to xx remains constant.

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Math Problem Analysis

Mathematical Concepts

Direct Variation
Algebra

Formulas

y = kx

Theorems

Direct Variation Theorem

Suitable Grade Level

Grades 6-8