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Question
Find the constant of variation from the table given below:
| x | 3 | 5 | 7 | 9 |
| y | 12 | 20 | 28 | 36 |
Set up a table and solve the following problems. Use unitary method to verify the answer.
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Solution
\[\text{ Since it is a direct variation, } \frac{x}{y} = k . \]
\[\text{ For x = 3 and y = 12, we have: } \]
\[k = \frac{3}{12} = \frac{1}{4}\]
\[\text{ Thus, in all cases, k } = \frac{1}{4}\]
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