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Find the constant of variation k for the direct variation

A) k=2.5
B) k=-2
C) k=2
D) k=0.5

Find the constant of variation k for the direct variation A) k=2.5 B) k=-2 C) k=2 D-example-1

2 Answers

7 votes

Answer:

The answer is C. K=2

Explanation:

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\bf \qquad \qquad \textit{direct proportional variation}\\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------\\\\ \textit{we know that } \begin{cases} x=4\\ y = 8 \end{cases}\implies 8=k4\implies \cfrac{8}{4}=k\implies 2=k
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