Question

select the correct answer from the drop - down menu. the maximum occupancy for a small circus is 1,000 people. at the start of the performance, 300 people are in the tent. after each act, another group of people enter the tent and the total number of people in the tent increases by 20%. assume no attendees leave until the circus has concluded. after blank acts, the circus will exceed its maximum occupancy.

Explanation:

Step1: Calculate post-act 1 attendance

Initial attendees: $300$. 20% increase: $300 \times 1.2 = 360$

Step2: Calculate post-act 2 attendance

Previous count: $360$. 20% increase: $360 \times 1.2 = 432$

Step3: Calculate post-act 3 attendance

Previous count: $432$. 20% increase: $432 \times 1.2 = 518.4 \approx 518$

Step4: Calculate post-act 4 attendance

Previous count: $518$. 20% increase: $518 \times 1.2 = 621.6 \approx 622$

Step5: Calculate post-act 5 attendance

Previous count: $622$. 20% increase: $622 \times 1.2 = 746.4 \approx 746$

Step6: Calculate post-act 6 attendance

Previous count: $746$. 20% increase: $746 \times 1.2 = 895.2 \approx 895$

Step7: Calculate post-act 7 attendance

Previous count: $895$. 20% increase: $895 \times 1.2 = 1074$

Answer:

7