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 following table of values shows Chris’s time travelling, x, and his distance travelled, y. Assume he is travelling at a constant rate.

Time, h
Distance, km
5
115
6
138
7
161
8
184

Determine the constant of variation.

Solution: