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2 months ago

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

Mathematics

2 answers:

Leona [12.6K]2 months ago

6 0

The constant of variation is 5 because 4 multiplied by 5 equals 20.

Inessa [12.5K]2 months ago

6 0

Answer: 5

Step-by-step explanation:

Define k as the constant of variation.

Since y varies directly with x, the direct variation equation is:

$y=kx$ , where k is the constant.

$\Rightarrow\ k=\dfrac{y}{x}$

Using the given values y = 20 and x = 4, the constant k is found by:

$\Rightarrow\ k=\dfrac{20}{4}=5$

Therefore, the constant of variation k equals 5.

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