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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 $\frac{1}{25}$

The amount a babysitter charges is shown. The relationship between the number of hours and the amount of money is linear.

Hours
Charge
3
21
4
28
5
35
6
42

Determine the constant of variation.

Solution: