a trout population grew from 4 in 1992 to 16 in 1993 and then to 64 in 1994. if it continued to grow…

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?\n100\n128\n256\n320

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?\n100\n128\n256\n320

Answer

Answer:

C. 256

Explanation:

Step1: Identify growth - rate pattern

The population goes from 4 to 16 (a factor of $\frac{16}{4}=4$ increase) from 1992 - 1993, and from 16 to 64 (a factor of $\frac{64}{16}=4$ increase) from 1993 - 1994.

Step2: Calculate population in 1995

Since the population is growing exponentially with a growth - factor of 4 each year, in 1995 (compared to 1994), the population is $64\times4 = 256$.