Question

The payload of an aircraft is the sum of the weight of the people on board,

their luggage, and the cargo carried by the aircraft. A particular commercial
aircraft has a maximum payload of 35,000 kilograms (kg) and cargo
weighing 7,000 kg. If P represents the number of people on board, and
the weight of each person plus his or her luggage is assumed to be 100 kg,
which of the following inequalities best represents the situation?
Choose 1 answer:
A
7,000 + 100P < 35,000
7,000 100P 35,000
7,000+ 100P > 35,000
100+ 7,000P ≤ 35,000

Answer 1

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