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Q.

A baby bear only weighs 4 kg. If a bear's weight doubles every five years to the power of 2, how many kilograms might it weigh at age five?


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a

20 kg

b

13 kg

c

17 kg

d

16 kg 

answer is D.

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Detailed Solution

It is given that a baby bear only weighs 4 kg and the bear's weight doubles every five years to the power of 2.
Using the exponent law, a n =a×a×a×a...........n  
A new born bear’s weight = 4kg  And the weight increases by the power of 2 in 5 yr.
Weight of bear in 5 yrs = 4 2 kg=16kg  
Therefore, a 5-year bear weighs 16 kg.
Hence option (4) is correct.
 
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A baby bear only weighs 4 kg. If a bear's weight doubles every five years to the power of 2, how many kilograms might it weigh at age five?