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This table represents a proportional relationship. Use the table to identify the constant of proportionality between the ratio of the number of laps to the number of swimmers.

A 2-column table with 4 rows. Column 1 is labeled Number of Swimmers with entries 20, 18, 14, 9. Column 2 is labeled Number of Laps with entries 240, 216, 168, 108.

The constant of proportionality is
.

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winterwright

Answer:

12

Step-by-step explanation:

The constant of proportionality in direct variation has this formula with a being the constant of proportionality: [tex]a = \frac{y}{x} [/tex]

Column 1 has the x-values and Column 2 has the y-values. If you divide the x-values by the corresponding y-values, you will get an [tex]a[/tex] value of 12.

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The constant of proportionality is 12.

Given  that,

  • A 2-column table with 4 rows.
  • Column 1 is labeled Number of Swimmers with entries 20, 18, 14, 9.
  • Column 2 is labeled Number of Laps with entries 240, 216, 168, 108.

Based on the above information, the calculation is as follows:

If we divided 240 by 20 so it comes 12

216 divided by 18 so it comes 12 and so on

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