Answer:
100 + 7,000P ≤ 35,000
Explanation:
Let's break down the information given:
1. The maximum payload of the aircraft is 35,000 kg.
2. The cargo carried by the aircraft weighs 7,000 kg.
3. The weight of each person plus their luggage is assumed to be 100 kg.
Now, let P represent the number of people on board.
The total payload of the aircraft is the sum of the cargo weight and the weight of the people and their luggage:
Total Payload = Cargo Weight + (Weight per Person * Number of People)
Total Payload = 7,000 + (100P)
Now, we need to set up an inequality to represent the situation where the total payload does not exceed the maximum payload of the aircraft (35,000 kg):
7,000 + 100P ≤ 35,000
So, the correct inequality that represents the situation is:
7,000 + 100P ≤ 35,000
Therefore, the answer is:
100 + 7,000P ≤ 35,000