Respuesta :

Answer:

y = 9

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = - 15 when x = 5, thus

k = [tex]\frac{y}{x}[/tex] = [tex]\frac{-15}{5}[/tex] = - 3

y = -3x ← equation of variation

When x = - 3, then

y = - 3(- 3) = 9

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