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Question:

If y  varies directly as x, and y is 20 when x is 4, what is the constant of varaitaion for this relation?

Answer:

C. 5

Step-by-step explanation:

When y = 20, x = 4.

  • Try to find k (constant of variation). y= kx

                                              20 = k x 4

                                               k = 20/4

                                               k= 5

The constant of variation for this relation will be option (C.) 5

Constant of variation

The ratio between two variables in a direct variation or the product of two variables in an inverse variation.

What are the steps to solve this problem?

The steps to solve this problem is as follow:

  • Given that y is directly proportional x

\(y=kx\)

\(k =\)  Proportionality constant

  • According to provided data

\(y=20\\x=4\\\)

  • So,

\(20=k(4)\\k=\frac{20}{4}\\ k=5\)

Therefore constant of variation will be 5

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