User:
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 table shows the number of hours a clerk works per week and the amount of money she earns before taxes.

Hours worked
Dollars earned
20
220
22
242
24
264
26
286

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

Solution: