Question

wo Use the following information to answer questions # 1-4. 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. 180 160 120 100 volume (liters) 80 60 (5,28) 20 S. 20 22 12 mass (grams)what is the meaning of the number you out in part A

Answer 1

Answer:

• (10,56) and (1,5.6)

,

• y=5.6x

Explanation:

There is a proportional relationship between the volume of a sample of helium in liters and the mass of that sample in grams.

$\begin{gathered} v=km,k\text{ a constant of proportion} \\ k=\frac{v}{m} \end{gathered}$

If the mass of a sample is 5 grams, its volume is 28 liters.

$k=\frac{28}{5}=5.6$

Part 3

$\begin{gathered} (10,56)\implies k=\frac{56}{10}=5.6 \\ (1,5.6)\implies k=\frac{5.6}{1}=5.6 \end{gathered}$

The points that would be on the same line are (10,56) and (1,5.6).

The other pa

Part 4

An equation that shows the relationship is:

$\begin{gathered} v=5.6m \\ \implies y=5.6x \end{gathered}$