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Find the constant of variation from a table

Determine the constant of variation.

Miles, x
Gallons, y
25
1
50
2
75
3
100
4

Compare the ratios to check for a common ratio.

Since the ratios are the same, the function is a direct variation. The constant of variation is $\frac{1}{25}$

Martha and Peter are making cookies for their school bake sale. The table shows the number of cookies, y, that they can produce in x minutes.

Time in minutes, x