Solving Systems of Inequalities in Word Problems

What are the variables X and Y representing in this problem?

• X is the cost of perch, Y is the cost of salmon

• X is the amount of perch, Y is the amount of salmon

• X is the total weight, Y is the total cost

• X is the amount of salmon, Y is the amount of perch

What is the maximum amount of money that can be spent on fish?

• $240

• $200

• $300

• $400

What is the minimum total weight of fish that must be purchased?

• 30 lbs

• 50 lbs

• 60 lbs

• 40 lbs

How is the cost inequality represented mathematically?

• 4X + 3Y ≥ 240

• 4X + 3Y ≤ 240

• 4X + 3Y < 240

• 4X + 3Y > 240

How is the weight inequality represented mathematically?

• X + Y ≤ 50

• X + Y < 50

• X + Y > 50

• X + Y ≥ 50

What is the slope (M value) of the cost inequality when rewritten in terms of Y?

• 3/4

• -3/4

• -4/3

• 4/3

What type of line is used to graph the cost inequality?

• Double line

• Dashed line

• Solid line

• Dotted line

What type of line is used to graph the weight inequality?

• Solid line

• Dashed line

• Double line

• Dotted line

Which region is shaded for the cost inequality?

• Above the line

• Below the line

• To the left of the line

• To the right of the line

What are the coordinates of one of the solution points in the feasible region?

• (30, 30)

• (10, 50)

• (20, 40)

• (50, 10)