The value of a for point (4,a) in the direct variation is 10.
What is a direct variation?
The direct variation in mathematics is given as the equation relationship between the two numbers, where one is a constant multiple.
In the given problem, the variation equation is given as:
[tex]y=kx[/tex]
Where k is a constant.
The value of k can be derived from point (2,5):
[tex]5=k2\\\\k=\dfrac{5}{2}\\\\ k=2.5[/tex]
Substituting the values of k for the point (4,a):
[tex]a=2.5\;\times\;4\\a=10[/tex]
The value of a for point (4,a) in the direct variation is 10.
Learn more about direct variation, here:
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