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The mass of a liquid varies directly with its volume. A liquid with mass 18 kilograms has a volume of 2 liters. Write the equation that relates the mass in kilograms, m, to the volume in liters, v.

Respuesta :

mhanifa

m = 9v

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Direct variation equation is:

  • y = kx,

where y- dependent variable, k - constant of proportionality, x - independent variable

Given that a liquid with a mass of 18 kilograms has a volume of 2 liters, we can calculate the proportionality constant (k), which represents the liquid's mass per unit volume.

In this case our equation is:

  • m = kv

The constant is found by dividing the mass by the volume:

  • k = 18  / 2  = 9

Thus, the equation that relates the mass in kilograms, m, to the volume in liters, v, is m = 9v.

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