Question

5. A science museum opened its butterfly exhibit in January 1996 with an initial population of 30 butterflies. The population doubles in size every 6 months. Which value of x, the number of doubling cycles, should be used to determine the number of butterflies in the exhibit in January 2000?C. 32A 4B. 8D. 64

Answer 1

Given that

A science museum opened its butterfly exhibit in January 1996 with an initial population of 30 butterflies. The population doubles in size every 6 months. And we need to find the number of doubling cycles till January 2000.

Explanation -

To find the doubling rate we will divide the initial population by the time in which it is getting doubled.

So, the initial population is 30 and the time is 6 months.

The doubling rate will be = 30/6 = 5

So the value of x will be

`x=2^5=32`

So the correct option is C.

And the final answer is 32.