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What is the constant of variation, k, of the direct variation, y = kx, through (5, 8)? k = -8/5 k= - 5/8 k= 5/8 k= 8/5

2 Answers

4 votes
y = kx
y/x = k......(5,8)....x = 5 and y = 8
8/5 = k
User Preetha
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2 votes

ANSWER


The constant of direct variation is
k=(8)/(5)


Step-by-step explanation

Since the equation goes through the point
(5,8), it must satidfy its equation.


We therefore, substitute the point
(5,8), in to the equation and solve for
k.



y=kx


This implies that;



8=5k



\Rightarrow (8)/(5)=k




Therefore the constant of direct variation is
k=(8)/(5)


Hence the correct answer is D.

User JKC
by
7.9k points

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