NEED ANSWER ASAP! The mass of a substance varies directly as the volume of the substance. If a mass of 30 kg of a substance has a volume of 6 liters, what is the volume of 65 kg of the substance?

Question

The mass of a substance varies directly as the volume of the substance. If a mass of 30 kg of a substance has a volume of 6 liters, what is the volume of 65 kg of the substance?

Answer 1

Hi Madrid M

You can set up a proportion to solve for the volume

(6 liters)/30 kg = x liters/65 kg

Cross multiply to solve for x

(6 liters)(65 kg)/30 kg = x

13 liters = x

Answer 2

30/6 = 5 = 65/x

x = 65/5= 13

Answer 3

m - kv This is the general equation for direct variation. k is a constant that we will solve for.

30 = k (6) Use the values you were given for mass and volume to solve for k.

5 = k

m = 5v. Replace the k with 5. Now that you know k, you can find the volume for ANY mass.

65 = 5v

13 = v