Question

use the following information to answer the next question.
an airplane can hold up to 1500 kg of luggage. economy class passengers are allowed to bring 15 kg of luggage. first class passengers are allowed to bring 45 kg of luggage.
assume each passenger brings luggage at the maximum allowable weight.
let x = the number of economy class passengers
y = the number of first class passengers

1. which inequality models the above situation? *

15x + 45y ≥ 1500
option 1
15x + 45y > 1500
option 2
15x + 45y ≤ 1500
option 3
15x + 45y < 1500
option 4

Explanation:

Step1: Analyze luggage weight contribution

Economy class: \(15x\) kg (15 kg per \(x\) passengers), First class: \(45y\) kg (45 kg per \(y\) passengers). Total luggage: \(15x + 45y\).

Step2: Relate to maximum capacity

Airplane holds up to 1500 kg, so total luggage \(\leq 1500\). Thus, \(15x + 45y \leq 1500\).

Answer:

Option 3. \(15x + 45y \leq 1500\)