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25 students to sit at 5 tables is a ratio.
A double number line is very similar to a ratio table in that you use them to solve problems requiring proportions. The ratio table is more flexible in that you do not need to position the numbers in the "correct" position. If you google using models in realistic mathematics education you will find references to these and ideas how they might be used in the classroom
In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities.
Mendel used the mathematics in his experiments. He found the ratio of the pea plants who were tall to who were short if every generation and gave the law of inheritance.
Ratio tables help organize things out,so its practically like a chart.