Maths / Direct and Inverse Variation / Direct Variation

QUESTION

Fill in the missing terms in the following tables,if x and y vary directly.

 x 6 8 10 b y 15 20 a 40
EXPLANATION
Explain TypeExplanation Content
Text
 x 6 8 10 b y 15 20 a 40

$\dpi{120} \fn_jvn \large \frac{x}{y}=k\\\\ \frac{x}{y}=\frac{6}{15}=\frac{2}{5}\\\\ \frac{x}{y}=\frac{8}{20}=\frac{2}{5}\\\\$

$\dpi{120} \fn_jvn \large \Rightarrow \frac{10}{a}=\frac{2}{5}\\\\ \Rightarrow a=\frac{10\times5 }{2}\Rightarrow 25$

$\dpi{120} \fn_jvn \large \Rightarrow \frac{b}{40}=\frac{2}{5}\\\\ \Rightarrow b=\frac{2\times40}{5}\Rightarrow 16$

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