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Maths Exercices
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


The table shows the number of gallons of paints Mrs. Robinson used to paint the number of rooms.

Number of gallons of paint
Number of rooms painted
2
18
3
27
4
36
5
45

The relationship between the gallons of paint and the number of rooms painted is linear.
Determine the constant of variation.

Solution: