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The table shows a direct variation.

What is the constant of variation?

x y
4 14
4.3 15.05
5 17.5

Sagot :

 the constant of variation is 3.5 !!! Hope this helps you

Answer:

The constant of variation = 3.5

Step-by-step explanation:

Table is a direct variation

x           y

4             14

4.3         15.05

5                17.5

If y varies directly with x then the equation is y=kx

where k is the contant of variation

LEts find out k  the constant of variation.

LEts plug in x  and y value using the table in the equation y=kx

x=4 and y= 14

[tex]y=kx[/tex]

[tex]14=k(4)[/tex]

[tex]14=4k[/tex]

Divide both sides by 4

k= 3.5

The constant of variation = 3.5

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