Question

If x and y are in direct variation , complete the following table​

Answer 1

Solution :

When two quantities say x and y are said to be in direct variation if x and y increase or decrease together in such a way that $\sf \: \frac{x}{y}$ remains constant and is positive, i.e. $\sf \: \frac{x}{y}$ = k or x = ky

Let's do it one by one :

$\sf \longrightarrow \: \dfrac{3}{45} = \dfrac{5}{a}$

$\sf \longrightarrow \: a = \dfrac{45 \times 5}{3}$

$\longrightarrow \large \boxed{\sf \: \: a = 75}$

Next one :

$\sf \longrightarrow \: \dfrac{5}{75} = \dfrac{b}{90}$

$\sf \longrightarrow \: b = \dfrac{5 \times 90}{75}$

$\longrightarrow \large \boxed{\sf \: \: b = 6}$

Another :

$\sf \longrightarrow \: \dfrac{6}{90} = \dfrac{c}{120}$

$\sf \longrightarrow \: c= \dfrac{6 \times 120}{90}$

$\longrightarrow \large \boxed{\sf \: \: c= 8}$

Last one :

$\sf \longrightarrow \: \dfrac{8}{120} = \dfrac{10}{d}$

$\sf \longrightarrow \: d= \dfrac{120 \times 10}{8}$

$\longrightarrow \large \boxed{\sf \: \: d= 150}$

Answer 2

Answer:

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