compare proportional relationships practice question 1
Question: In a science experiment, the mass of a substance is directly proportional to the volume of the substance. Substance A has a mass of 20 grams and a volume of 4 cubic centimeters. Substance B has a mass of 40 grams. What is the volume of Substance B?
Answer:
To solve this problem, we can set up a ratio of mass to volume for Substance A:
Mass of Substance A: Volume of Substance A = 20 grams : 4 cubic centimeters
This ratio simplifies to: 5 grams : 1 cubic centimeter.
Since mass is directly proportional to volume, we can use the same ratio to find the volume of Substance B:
Volume of Substance B = Mass of Substance B / (5 grams : 1 cubic centimeter)
Volume of Substance B = 40 grams / 5 grams = 8 cubic centimeters.
Therefore, Substance B has a volume of 8 cubic centimeters.