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The population of Dwarf cats’ doubles in a certain country every year, as shown in the graph. If the number of Dwarfs cats was 50 last year, calculate the number of Dwarf cats after 4 years from now?

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200

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answer is C.

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Detailed Solution

The number of dwarf cat is 50.
From the given data and graph, we can observe that the relationship is exponential and at

.
Since the number doubles each year, the dwarf cat at any given time follows a G.P series with a common ratio of 2.
Hence at any time t, the number of dwarf cats will be:

\Rightarrow y = 50 (2^{t})

Therefore after 4 years, it will be:

\Rightarrow y = 50 (2^{4})

\Rightarrow y = 800 .

Hence, The correct answer is option (3).

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