Question

Problems $15, 16,$ and $17$ all refer to the following:

Don’t Crowd The Isles

In the very center of the Irenic Sea lie the beautiful Nisos Isles. In $1998$ the number of people on these islands is only $200,$ but the population triples every $25$ years. Queen Irene has decreed that there must be at least $1.5$ square miles for every person living in the Isles. The total area of the Nisos Isles is $24900$ square miles.

Estimate the population of Nisos in the year $2050.$

$600$

$800$

$1000$

$2000$

$3000$

Solution:

The population in $2048$ , which is $50$ years after $1998$ , is $3^2\cdot200=1800$ .

Since $2048$ is close to $2050$ , the population in $2050$ is approximately $1800$ , and the closest choice is $2000$ .

Thus, the correct answer is D .

1998 AMC 8 Problem 15

Solution:

Problem 15 in Other Years