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Sample Question 13:
Step 1: Understand that when the participation increases by 50%, the number of participants is multiplied by a factor of \(1 + 0.5 = 1.5\).
Step 2: Calculate the number of participants in 1997, which is \(800 \times 1.5 = 1200\).
Step 3: Calculate the number of participants in 1998, which is \(1200 \times 1.5 = 1800\).
Step 4: Calculate the number of participants in 1999, which is \(1800 \times 1.5 = 2700\).
Step 5: Compare this result to the given options to find that the answer is \(\boxed{E}\).
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 will expect in the fall of 1999 is
\(\text{(A)}\ 1200 \qquad \text{(B)}\ 1500 \qquad \text{(C)}\ 2000 \qquad \text{(D)}\ 2400 \qquad \text{(E)}\ 2700\)
Answer Keys
Question 13: ESolutions
Question 13Step 1: Understand that when the participation increases by 50%, the number of participants is multiplied by a factor of \(1 + 0.5 = 1.5\).
Step 2: Calculate the number of participants in 1997, which is \(800 \times 1.5 = 1200\).
Step 3: Calculate the number of participants in 1998, which is \(1200 \times 1.5 = 1800\).
Step 4: Calculate the number of participants in 1999, which is \(1800 \times 1.5 = 2700\).
Step 5: Compare this result to the given options to find that the answer is \(\boxed{E}\).