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प्रश्न
Complite the following table given that x varies directly as y .
| x | 2.5 | ... | ... | 15 |
| y | 5 | 8 | 12 | ... |
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उत्तर
\[\text{ Here, x and y vary directly } . \]
\[ \therefore x = ky\]
\[x = 2 . 5 \text{ and } my = 5\]
\[i . e . , 2 . 5 = k \times 5\]
\[ \Rightarrow k = \frac{2 . 5}{5} = 0 . 5\]
\[\text{ For y = 8 and k = 0 . 5, we have } : \]
\[x = ky\]
\[ \Rightarrow x = 8 \times 0 . 5 = 4\]
\[\text{ For y = 12 and k = 0 . 5, we have: } \]
\[x = ky\]
\[ \Rightarrow x = 12 \times 0 . 5 = 6\]
\[\text{ For x = 15 and k = 0 . 5, we have } : \]
\[x = ky\]
\[ \Rightarrow 15 = 0 . 5 \times y\]
\[ \Rightarrow y = \frac{15}{0 . 5} = 30\]
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संबंधित प्रश्न
Which of the following quantities vary directly with each other?
(i) Number of articles (x) and their price (y).
(ii) Weight of articles (x) and their cost (y).
(iii) Distance x and time y, speed remaining the same.
(iv) Wages (y) and number of hours (x) of work.
(v) Speed (x) and time (y) (distance covered remaining the same).
(vi) Area of a land (x) and its cost (y).
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