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11 grade maths others

Is y = 12x a direct variation and if it is, how do you find the constant?

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10 Months agoGrade
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ApprovedApproved Tutor Answer10 Months ago

Yes, the equation y = 12x represents a direct variation. In direct variation, one variable is a constant multiple of another. Here, 12 is the constant of variation.

Identifying Direct Variation

To determine if an equation shows direct variation, check if it can be expressed in the form y = kx, where k is a non-zero constant. In this case, k = 12.

Finding the Constant

To find the constant of variation:

  • Look at the coefficient of x in the equation.
  • In y = 12x, the constant is 12.

Thus, the constant of variation in this equation is 12.