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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 hours a clerk works per week and the amount of money she earns before taxes.

Hours worked
Dollars earned
13
130
15
150
17
170
19
190

The relationship between the number of hours she works and the amount of money she earns is linear.
Determine the constant of variation.

Solution: