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mariam405

Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin. ... Describe situations in which opposite quantities combine to make 0.

Proportional quantities are described by equivalent ratios as shown below

[tex]\frac{p_1}{q_1} = \frac{p_2}{q_2}[/tex]

Let the two proportional quantities be p and q

If p and q are proportional, then [tex]p \alpha q[/tex]

Introducing a proportionality constant (k)

[tex]p = kq\\\\k = \frac{p}{q}[/tex]

Since the two quantities are proportional, the ratio of  initial values will be equal to the ratio of their final values.

That is [tex]\frac{p_1}{q_1} = \frac{p_2}{q_2}[/tex]

Therefore, proportional quantities are described by equivalent ratios as shown below

[tex]\frac{p_1}{q_1} = \frac{p_2}{q_2}[/tex]

Learn more here: https://brainly.com/question/18671639

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