Question

a shipping container will be used to transport several 120-kilogram crates across the country by rail. the greatest weight that can be loaded into the container is 25500 kilograms. other shipments weighing 7900 kilograms have already been loaded into the container. which inequality can be used to determine x, the greatest number of 120-kilogram crates that can be loaded onto the shipping container?
answer
○ 25500 ≤ 7900x + 120 ○ 25500 ≤ 120x + 7900
○ 25500 ≥ 7900x + 120 ○ 25500 ≥ 120x + 7900

Explanation:

Step1: Analyze total weight components

The weight of \( x \) crates (each 120 kg) is \( 120x \) kg. The existing shipment is 7900 kg. Total weight loaded is \( 120x + 7900 \).

Step2: Relate to container's max weight

The container's max weight is 25500 kg, so total loaded weight must be ≤ 25500? No, wait—loaded weight can't exceed 25500, so \( 120x + 7900 \leq 25500 \), which is equivalent to \( 25500 \geq 120x + 7900 \).

Answer:

D. \( 25500 \geq 120x + 7900 \) (assuming the last option is D; if options are labeled as per the circles, the correct one is the fourth option: \( 25500 \geq 120x + 7900 \))