Question

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

• A. $200$
• B. $250$
• C. $800$
• D. $1600$

Answer 1

Answer: (C)

$800$

From the given data and graph, we can observe that the relationship is exponential and at $t=0$, the number of dwarf cat is $50$.

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 $y=50\left(2^t\right)$.

Therefore after $4$ years, it will be $y=50\left(2^4\right)=50\left(16\right)=800$.