(4, a) and (2, 5) are two points from a direct variation. What is a? Use the step-by-step process you just learned to solve this problem. Step 1: Set up the correct type of variation equation. y =

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05-05-2022
Computers and Technology

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(4, a) and (2, 5) are two points from a direct variation. What is a? Use the step-by-step process you just learned to solve this problem. Step 1: Set up the correct type of variation equation. y =

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shrutiagrawal1798 shrutiagrawal1798 · Answer 1 · 2022-05-18T06:30:07-04:00

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.

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What is a direct variation?

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