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Answer:
[tex]\frac{8}{5}[/tex]
Step-by-step explanation:
The constant of direction variation givens a proportion that is maintained by both x and y values for all points of a line that it passes through.
Usually represented with the variable [tex]k[/tex], it is given by:
[tex]\frac{y}{x}=k[/tex] for coordinates (x, y).
This relationship can be written as [tex]y=kx[/tex] which is also the layout for a proportional relationship.
Since coordinates are written (x, y), for point (5, 8), substitute [tex]x=5, y=8[/tex] to get the constant of variation:
[tex]8=5k,\\k=\boxed{\frac{8}{5}}[/tex]
Answer:
8/5
Step-by-step explanation:
Given that y varies directly with x , therefore ,
[tex]\implies y \propto x[/tex]
Let k be the constant . Therefore ,
[tex]\implies y = k x[/tex]
When the point is (5,8) ,
[tex]\implies 8 = k * 5 \\\\\implies \underline{\underline{\boxed{ k =\dfrac{8}{5}}}}[/tex]
Hence the constant of variation is 8/5.