Respuesta :

The constant variation is k=-13/2

Answer:

k = - 6.5

Step-by-step explanation:

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

y = kx ← k is the constant of variation

To find k use the condition x = 4 when y = - 26, hence

k = [tex]\frac{y}{x}[/tex] = [tex]\frac{-26}{4}[/tex] = - [tex]\frac{13}{2}[/tex] = - 6.5

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