Question

In the fall of $1996$ , a total of $800$ students participated in an annual school clean-up day. The organizers of the event expect that in each of the years $1997, 1998,$ and $1999$ , participation will increase by $50\%$ over the previous year. The number of participants the organizers expect in the fall of $1999$ is

$1200$

$1500$

$2000$

$2400$

$2700$

Answer: E

Concepts:percentage geometric sequence

Difficulty rating: 930

Solution:

Each year multiplies the count by $1.5$ : $800 \to 1200 \to 1800 \to 2700$ .

So $800 \cdot 1.5^3 = 2700$ participants are expected in $1999$ .

Thus, the correct answer is E .

1996 AMC 8 Problem 13

Answer: E

Difficulty rating: 930

Solution:

Problem 13 in Other Years