Respuesta :

Answer:

x = 50

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

x = 10 when y = 40, then

40 = 10k ( divide both sides by 4 )

4 = k

y = 4x ← equation of variation

When y = 200, then

200 = 4x ( divide both sides by 4 )

50 = x