Question

anywhere airlines aims to collect at least $7,500 in baggage fees from passengers every day. passengers are charged $20 for each regular suitcase and $84 for each overweight suitcase. select the inequality in standard form that describes this situation. use the given numbers and the following variables. x = the number of regular suitcases y = the number of overweight suitcases 84x + 20y ≥ 7,500 20x + 84y ≤ 7,500 20x + 84y ≥ 7,500 84x + 20y ≤ 7,500

Explanation:

Step1: Calculate total fees for each type

The fee for regular suitcases is $20 per - suitcase, and if there are $x$ regular suitcases, the total fee for regular suitcases is $20x$. The fee for overweight suitcases is $84 per - suitcase, and if there are $y$ overweight suitcases, the total fee for overweight suitcases is $84y$.

Step2: Set up the inequality

The airline aims to collect at least $7500$. "At least" means greater than or equal to. So the total fee from regular and overweight suitcases, $20x + 84y$, must be greater than or equal to $7500$. The inequality is $20x+84y\geq7500$.

Answer:

$20x + 84y\geq7,500$