## Determine whether y varies directly with x. If so find the constant of variation k and write the equation. X 4,7,10,13. Y 6.4,11.2,16,20.8

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## Answers ( No )

Answer:k=1.6Step-by-step explanation:Let us suppose

y=Kx

so satisfying the point

For

for

thus y varies linearly with x.

Direct variation is modeled by

… y = k·x

Then the value of k can be found by finding the ratio of any corresponding pair of numbers from your table. I find it convenient to choose the one where x=10, so the math is easy to do mentally.

… y/x = k

… 16/10 =

k = 1.6Then the equation is

…

y = 1.6x_____

Checking the other values in the table, we find that this equation fits all of them, so

.you do have direct variation