Question

A trout population grew from 4 in 1992 to 16 in 1993 and then to 64 in 1994. If it continued to grow exponentially, approximately how many trout were there in 1995?

100

Answer 1

256 trouts

Step-by-step explanation:

There would be about 100 trouts in 1995.

When a population grows exponentially, it means that the number of individuals in the population grows at a constant proportion relative to the original population.

The population of trout according to the illustration grows exponentially by multiplying by 4 every year. Hence, if there were 4 in 1992,

by 1993: there were 4 x4 = 16 trouts

by 1994: there were 16 x 4 = 64 trouts

by 1995: there would be 64 x 4 = 256 trouts.

Answer 2

256

Step-by-step explanation:

==>Trout population:

In 1992, we have 4

In 1993, we have 16

In 1994, we have 64

==>Required:

Population if trout in 1995

Thus, since we are told that the population growth is exponential, and looking at how the popuation increased from 1992 to 1994, we can see that the population increased yearly in the multiples of 4.

=> 4, 16, 64, ?

The next number in this series of exponential growth which represents the population in 1995 would be 256. I.e. (4)⁴ = 4*4*4*4 = 256

Population of trout in 1995 = 256