Respuesta :
The required system of inequalities is x + y ≤ 200 and 4x + 3y ≤ 750.
Inequality is a non-equal relation between two expressions involving variables and constants.
The sign of the inequality can be, less than (<), greater than (>), less than or equal to (≤), or greater than or equal to (≥).
In the question, we are asked to write the system of inequalities to represent the given scenario, where x is the number of adults and y is the number of campers.
We are informed that there is a room for 200 people.
Thus, the total number of people, that is, the number of adults + the number of campers, or, x + y should be less than or equal to 200.
This gives us an inequality:
x + y ≤ 200.
We are informed that the cost of an adult is $4 and the cost for a camper is $3, and the total budget is $750.
Thus, the total cost, that is, the cost of all adults + the cost of all campers, or, 4x + 3y should be less than or equal to 750.
This gives us an inequality:
4x + 3y ≤ 750.
Thus, the required system of inequalities is x + y ≤ 200 and 4x + 3y ≤ 750. Hence, the first option is the correct choice.
Learn more about writing inequalities at
brainly.com/question/27485614
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