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Question
Complite the following table given that x varies directly as y .
| x | 6 | 8 | 10 | ... | 20 |
| y | 15 | 20 | ... | 40 | ... |
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Solution
\[\text{ Here, x and y vary directly } . \]
\[ \therefore x = ky\]
\[ x = 6 \text{ and } y = 15\]
\[i . e . , 6 = k \times 15\]
\[ \Rightarrow k = \frac{6}{15} = 0 . 4\]
\[\text{ For x = 10 and k = 0 . 4, we have: } \]
\[y = \frac{10}{0 . 4} = 25\]
\[\text{ For y = 40 and k = 0 . 4, we have: } \]
\[x = 0 . 4 \times 40 = 16\]
\[\text{ For x = 20 and k = 0 . 4, we have: } \]
\[y = \frac{20}{0 . 4} = 50\]
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