# Complite the following table given that x varies directly as y .  x 6 8 10 ... 20 y 15 20 ... 40 ... - Mathematics

Sum

Complite the following table given that x varies directly as y

 x 6 8 10 ... 20 y 15 20 ... 40 ...

#### 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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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 10 Direct and Inverse Variations
Exercise 10.1 | Q 5.3 | Page 6