Question
A furniture company is shipping cargo overseas on a container ship. A shorter container can hold 42,400 pounds and a longer container can hold 66,100 pounds. Together, all the containers must hold at least 821,000 pounds, the weight of the cargo.
Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of shorter containers
y = the number of longer containers
Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of shorter containers
y = the number of longer containers
Answers
GPT-4o mini
To represent the situation with an inequality, we first need to consider the capacities of the containers and the total weight they need to support.
1. The shorter container can hold 42,400 pounds.
2. The longer container can hold 66,100 pounds.
3. Together, all the containers must hold at least 821,000 pounds.
Let:
- \( x \) = the number of shorter containers
- \( y \) = the number of longer containers
The total weight that the containers can support is represented by the expression:
\[ 42,400x + 66,100y \]
We need this total to be at least 821,000 pounds. Therefore, we can express the requirement as an inequality:
\[
42,400x + 66,100y \geq 821,000
\]
This inequality is already in standard form, where the left side represents the combined capacity of the containers and the right side represents the minimum required weight.
1. The shorter container can hold 42,400 pounds.
2. The longer container can hold 66,100 pounds.
3. Together, all the containers must hold at least 821,000 pounds.
Let:
- \( x \) = the number of shorter containers
- \( y \) = the number of longer containers
The total weight that the containers can support is represented by the expression:
\[ 42,400x + 66,100y \]
We need this total to be at least 821,000 pounds. Therefore, we can express the requirement as an inequality:
\[
42,400x + 66,100y \geq 821,000
\]
This inequality is already in standard form, where the left side represents the combined capacity of the containers and the right side represents the minimum required weight.