Exploring Real-Life Inequalities and Their Graphs

A local gym charges a monthly fee of $30 plus $5 for each class attended. Write an inequality to represent the total cost (C) if a member attends x classes, and graph the inequality. What does the shaded region represent?

• C >= 30 + 5x

• C > 30 + 5x

• C = 30 + 5x

• C <= 30 + 5x

Tags

CCSS.7.EE.B.4B

A farmer has a budget of $200 to spend on seeds. If each type of seed costs $15, write an inequality to represent the number of seed types (x) he can buy. Graph the inequality and interpret the meaning of the graph.

• x < 15

• x <= 13

• x > 13

• x >= 14

Tags

CCSS.6.EE.B.8

A school is planning a field trip and has a budget of $500. If each student pays $25, write an inequality to represent the maximum number of students (x) that can attend. Graph the inequality and explain what the graph indicates about the number of students.

• 30x ≤ 500, x ≤ 15

• 20x ≤ 500, x ≤ 25

• 25x < 500, x < 25

• 25x ≤ 500, x ≤ 20

Tags

CCSS.6.EE.B.8

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write an inequality for the total cost (C) if a customer drives x miles. Graph the inequality and describe the significance of the shaded area.

• C <= 50 + 0.20x

• C = 50 + 0.20x

• C < 50 + 0.20x

• C >= 50 + 0.20x

Tags

CCSS.7.EE.B.4B

A store is having a sale where each item is discounted by at least 20%. If the original price of an item is p, write an inequality to represent the sale price (S). Graph the inequality and interpret the graph in terms of price reductions.

• S >= 0.8p

• S > p

• S < 0.8p

• S <= 0.8p

Tags

CCSS.6.EE.B.8

A charity event aims to raise at least $1,000. If each ticket sold is $15, write an inequality to represent the number of tickets (x) that need to be sold. Graph the inequality and explain the implications of the graph for fundraising.

• 15x < 1000

• x <= 67

• 15x = 1000

• 15x >= 1000, x >= 67

Tags

CCSS.6.EE.B.8

A student has a maximum of 3 hours to study for exams. If each subject requires at least 30 minutes, write an inequality to represent the number of subjects (x) the student can study. Graph the inequality and discuss what the graph reveals about study time.

• x ≤ 6

• x = 5

• x ≥ 4

• x < 3

Tags

CCSS.6.EE.B.8

A pet store has a limit of 50 pets available for adoption. If each pet costs $100, write an inequality to represent the total cost (C) for adopting x pets. Graph the inequality and explain what the graph indicates about pet adoption limits.

• C <= 100x, x <= 50

• C >= 100x, x <= 100

• C <= 50x, x <= 25

• C < 100x, x < 50

Tags

CCSS.6.EE.B.8