# Complite the following table given that x varies directly as y .  x 2.5 ... ... 15 y 5 8 12 ... - Mathematics

Complite the following table given that x varies directly as y

 x 2.5 ... ... 15 y 5 8 12 ...

#### Solution

$\text{ Here, x and y vary directly } .$
$\therefore x = ky$
$x = 2 . 5 \text{ and } my = 5$
$i . e . , 2 . 5 = k \times 5$
$\Rightarrow k = \frac{2 . 5}{5} = 0 . 5$
$\text{ For y = 8 and k = 0 . 5, we have } :$
$x = ky$
$\Rightarrow x = 8 \times 0 . 5 = 4$
$\text{ For y = 12 and k = 0 . 5, we have: }$
$x = ky$
$\Rightarrow x = 12 \times 0 . 5 = 6$
$\text{ For x = 15 and k = 0 . 5, we have } :$
$x = ky$
$\Rightarrow 15 = 0 . 5 \times y$
$\Rightarrow y = \frac{15}{0 . 5} = 30$

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 10 Direct and Inverse Variations
Exercise 10.1 | Q 5.1 | Page 6