Podcast
Questions and Answers
What does the variable x represent in the given context?
What does the variable x represent in the given context?
- The weight of large boxes
- The number of large boxes (correct)
- The weight of small boxes
- The number of small boxes
What is the total weight limit on the elevator when including the delivery person?
What is the total weight limit on the elevator when including the delivery person?
- 2000 pounds (correct)
- 2500 pounds
- 1800 pounds
- 2200 pounds
Which of the following inequalities accurately represents the total weight of the boxes and the delivery person?
Which of the following inequalities accurately represents the total weight of the boxes and the delivery person?
- 2x + 3y + 200 ≤ 2000 (correct)
- 2x + 3y + 200 < 2000
- 2x + 3y + 200 = 2000
- 2x + 3y + 200 ≥ 2000
If one large box weighs 75 pounds and one small box weighs 50 pounds, how much do two large and three small boxes weigh?
If one large box weighs 75 pounds and one small box weighs 50 pounds, how much do two large and three small boxes weigh?
If the number of large boxes is represented by x and the number of small boxes is represented by y, which equation incorporates the given weights?
If the number of large boxes is represented by x and the number of small boxes is represented by y, which equation incorporates the given weights?
Flashcards
What is an equation?
What is an equation?
An equation that describes the relationship between two variables and shows how they change together.
What is an inequality?
What is an inequality?
A statement that two expressions are not equal. It uses an inequality symbol like <, >, ≤, or ≥.
What is a graph of an inequality?
What is a graph of an inequality?
A graphical representation of an inequality that shows all the possible solutions on a coordinate plane.
What is a weight limit?
What is a weight limit?
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What is mathematical modeling?
What is mathematical modeling?
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Study Notes
Elevator Weight Limit
- Two large boxes and three small boxes weigh 270 pounds
- One large box and four small boxes weigh 235 pounds
- The elevator weight limit is 2000 pounds
- A 200-pound delivery person is also on the elevator
Inequality
- The inequality represents the number of large (x) and small (y) boxes a 200-pound person can take on the elevator.
- This is found by adding the weight of the boxes and the weight of the person to the total weight limit. The sum of the weights of the boxes and the person cannot exceed the total weight limit.
- The inequality is: 270x + 235y + 200 ≤ 2000
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