Question

1/1

There is a proportional relationship between the volume of a sample of helium in liters and the mass of that sample in grams. If the mass of a sample is 5 grams, its volume is 28 liters. (5, 28) is shown on the graph below

What is the constant of proportionality in this relationship?

In this situation, what is the meaning of the number you found in question 1?(explain in the short answer)
Add at least three more points to the graph above, and label with their coordinates.(Show your work)

Write an equation that shows the relationship between the mass of a sample of helium and its volume. Use m for mass and v for volume.(Please answer in v = form)

Answer 1

`v = (28m)/(5)`

Explanation:

The meaning behind the constant of k = 28/5 is that it says that 1 gram of helium takes up 28/5 = 5.6 liters of space, and each time you increase the mass by 1 gram, the space increases by 5.6 also

3 more points:

- V1 = 28/5 * 10 = 56 liters

- v2 = 28/5 * 15 = 84

- V3 = 28/5 * 20 = 112