Graphing Inequalities in Real-World Scenarios

The video tutorial covers graphing inequalities through various word problems. It starts with an introduction to inequalities and moves on to practical examples, including budgeting for wooden planks, meeting a fish market sales quota, transporting items with weight limits, and modeling earnings from summer jobs. Each section involves setting up and solving inequalities, graphing them, and interpreting the results to make informed decisions.

What is the cost per foot of cedar used in the outdoor furniture scenario?

• $2.50

• $1.75

• $2.00

• $3.00

What is the maximum budget allowed for the wooden planks?

• $150

• $200

• $250

• $300

What does the slope of -10/7 in the inequality graph represent?

• Increase in pine cost per foot

• Decrease in cedar cost per foot

• Decrease in pine cost per foot

• Increase in budget per foot

Why do we shade below the line in the graph of the wooden planks scenario?

• The inequality is 'greater than'

• The inequality is 'not equal to'

• The inequality is 'equal to'

• The inequality is 'less than or equal to'

Which combination of cedar and pine feet stays within the $200 budget?

• 50 feet of cedar and 100 feet of pine

• 10 feet of cedar and 60 feet of pine

• 60 feet of cedar and 10 feet of pine

• 100 feet of cedar and 50 feet of pine

What is the cost per pound for Cod at the fish market?

• $10

• $9

• $8

• $11

What is the minimum daily quota of fish sales in pounds?

• 130 pounds

• 120 pounds

• 100 pounds

• 110 pounds

How much does each upright piano weigh for the transportation scenario?

• 250 pounds

• 350 pounds

• 475 pounds

• 575 pounds

What is the maximum weight the truck can carry?

• 7400 pounds

• 6400 pounds

• 5400 pounds

• 8400 pounds

Why do we shade the area below the line in the truck's load graph?

• The inequality is 'greater than or equal to'

• The inequality is 'equal to'

• The inequality is 'not equal to'

• The inequality is 'less than or equal to'