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 :

a16328a_1
b4b_1b_20.5
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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