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 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 |
4 |
92 |
5 |
115 |
6 |
138 |
7 |
161 |
Determine the constant of variation.
Solution: