'c varies inversely as d' . Complete the following table

c 48 96 ... 40

d 720 ... 1440 ...

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Solution

$c α \frac{1}{d} \Rightarrow c \times d = k \Rightarrow 48 \times 720 = k \Rightarrow k = 34560 W h e n 96 \times d = 34560, (∵ c = 96) d = \frac{34560}{96} \Rightarrow d = 360 W h e n c \times 1440 = 34560, (∵ d = 1440) c = \frac{34560}{1440} \Rightarrow c = 24 W h e n 40 \times d = 34560, (∵ c = 40) d = \frac{34560}{40} \Rightarrow d = 864$

The complete table is given below:

c 48 96 24 40

d 720 360 1440 864

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'c varies inversely as d' . Complete the following table c 48 96 ... 40 d 720 ... 1440 ...

c α 1d⇒ c×d=k⇒ 48×720=k⇒ k=34560When 96×d=34560, (∵c=96)d=3456096⇒d=360When c×1440=34560, (∵d=1440)c=345601440⇒ c=24When 40×d=34560, (∵c=40)d=3456040⇒d=864 The complete table is given below: c 48 96 24 40 d 720 360 1440 864

'c varies inversely as d' . Complete the following table

c 48 96 ... 40

d 720 ... 1440 ...