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How can percents show proportional relationships between
quantities and be used to solve problems?


Sagot :

Answer:

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

Step-by-step explanation:

Percentages are simply the measures of a quantity over a hundred (100), while proportional relationships are relationships that have a constant equivalent ratio

Solving proportional relationships using percentage

A proportional relationship is represented as:

[tex]y = kx[/tex]

Where k represents the proportionality constant, and x and y are the variables (or quantities).

Using percentages, then k has to be represented as a percentage.

Take for instance,

  • 20 is 5% of 100
  • 7 is 5% of 140

When the above instance are represented as a proportional relationship, we have:

[tex]y = 5\% \times x[/tex]

Such that

[tex]k = 5\%[/tex]

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