Maths / Direct and Inverse Variation / Inverse Variation

QUESTION

If a and b vary inversely, then find the value of the missing numbers in the following table :

 a 16 32 8 $a_1$ b 4 $b_1$ $b_2$ 0.5
EXPLANATION
Explain TypeExplanation Content
Text

$ab=k$

$k=16 \times 4=64$

Now,                  $32 \times b_1=64 \Rightarrow b_1=\frac {64}{32}=2$

$8 \times b_2=64 \Rightarrow b_2=\frac {64}{8}=8$

$a_1 \times 0.5 = 64 \Rightarrow a_1=\frac {64}{0.5}=128$

Hence,  $b_1=2,\;b_2=8,\;and \; a_1=128.$

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