a direct variation function contains the points (2,14) and (4,28). which equation represents the function?
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[tex]\bf \begin{array}{ccll} x&y\\ \cline{1-2}\\ 2&\stackrel{2\cdot 7}{14}\\\\ 4&\stackrel{4\cdot 7}{28}\\\\ x&x\cdot 7 \end{array}~\hspace{7em}y=7x[/tex]
Answer:
y = 7x
Step-by-step explanation:
A direct variation is of the form
y = kx where k is the constant of variation
We have the point (2,14)
Substituting this in
14 = k*2
Divide each side by 2
14/2 =2k/2
7 =k
The direct variation equation is y = 7x