Respuesta :

Answer:

y = [tex]\frac{5}{3}[/tex] x

Step-by-step explanation:

given y varies directly as x, the the equation relating them is

y = kx ← k is the constant of variation

to find k use the given condition y = 10 when x = 6, hence

k = [tex]\frac{y}{x}[/tex] = [tex]\frac{10}{6}[/tex] = [tex]\frac{5}{3}[/tex]

y = [tex]\frac{5}{3}[/tex] x ← is the equation


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