Maths / Direct and Inverse Variation / Direct Variation

QUESTION

x and y vary directly. Complete the following table by finding the value of a, b, c and d.

 x 2 4 b 16 d y 3 a 15 c 27
EXPLANATION
Explain TypeExplanation Content
Text
 x 2 4 b 16 d y 3 a 15 c 27

$\dpi{120} \fn_jvn \large k=\frac{x}{y}=\frac{2}{3}$

$\dpi{120} \fn_jvn \large \frac{4}{a}=\frac{2}{3}\Rightarrow a=\frac{4X3}{2}=6$

$\dpi{120} \fn_jvn \large \frac{b}{15}=\frac{2}{3}\Rightarrow b=\frac{15X2}{3}=10$

$\dpi{120} \fn_jvn \large \frac{16}{c}=\frac{2}{3}\Rightarrow c=\frac{16X3}{2}=24$

$\dpi{120} \fn_jvn \large \frac{d}{27}=\frac{2}{3}\Rightarrow d=\frac{2X27}{3}18$

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