#### Question

Complite the following table given that *x* varies directly as *y *.

x |
2.5 | ... | ... | 15 |

y |
5 | 8 | 12 | ... |

#### Solution

\[\text{ Here, x and y vary directly } . \]

\[ \therefore x = ky\]

\[x = 2 . 5 \text{ and } my = 5\]

\[i . e . , 2 . 5 = k \times 5\]

\[ \Rightarrow k = \frac{2 . 5}{5} = 0 . 5\]

\[\text{ For y = 8 and k = 0 . 5, we have } : \]

\[x = ky\]

\[ \Rightarrow x = 8 \times 0 . 5 = 4\]

\[\text{ For y = 12 and k = 0 . 5, we have: } \]

\[x = ky\]

\[ \Rightarrow x = 12 \times 0 . 5 = 6\]

\[\text{ For x = 15 and k = 0 . 5, we have } : \]

\[x = ky\]

\[ \Rightarrow 15 = 0 . 5 \times y\]

\[ \Rightarrow y = \frac{15}{0 . 5} = 30\]

Is there an error in this question or solution?

Solution Complite the following table given that x varies directly as y . x 2.5 ... ... 15 y 5 8 12 ... Concept: Concept of Direct Proportion.