Real-Life Inequalities: Solve & Graph Your Limits

A local gym charges a monthly fee of $30 plus $5 for each class attended. If a member wants to spend no more than $100 in a month, how many classes can they attend? Solve the inequality and graph the solution set.

• 10

• 14

• 12

• 16

A school is planning a field trip and has a budget of $500. The cost per student is $20. Write and solve an inequality to determine how many students can attend the trip, and graph the solution set.

• 30

• 20

• 15

• 25

A farmer has 120 acres of land and wants to plant corn and wheat. Each acre of corn requires 2 hours of labor, and each acre of wheat requires 3 hours. If the farmer has a maximum of 240 hours of labor available, write and solve the inequality for the number of acres of corn (c) and wheat (w) he can plant. Graph the solution set.

• c + w ≤ 120 and 2c + 4w ≤ 240

• c + w ≤ 150 and 2c + 3w ≤ 300

• c + w ≤ 120 and 2c + 3w ≤ 240

• c + w ≤ 100 and 2c + 2w ≤ 240

A concert hall has a seating capacity of 300. If tickets are sold for $15 each, and the total revenue must be at least $2000, write and solve the inequality for the number of tickets (t) that must be sold. Graph the solution set.

• t >= 134 and t <= 300

• t < 134

• t = 150

• t > 300

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer wants to spend no more than $100, how many miles can they drive? Solve the inequality and graph the solution set.

• 150 miles

• 300 miles

• 250 miles

• 200 miles

A bakery sells cupcakes for $3 each and cookies for $2 each. If a customer wants to spend no more than $30, write and solve an inequality for the number of cupcakes (c) and cookies (k) they can buy. Graph the solution set.

• 2c + 3k ≤ 30

• 4c + k ≤ 30

• c + 2k ≤ 30

• 3c + 2k ≤ 30, k ≤ 15 - 1.5c

A student has a budget of $40 to spend on books. If each book costs $8, write and solve an inequality to find out how many books the student can buy. Graph the solution set.

• The student can buy at most 3 books.

• The student can buy at most 7 books.

• The student can buy at most 5 books.

• The student can buy an unlimited number of books.

A pet store has a limit of 50 pets for adoption. If there are currently 30 pets available, write and solve an inequality to determine how many more pets can be adopted. Graph the solution set.

• 35

• 20

• 25

• 10

A factory produces toys and has a maximum production capacity of 200 toys per day. If each toy requires 2 hours of labor, write and solve an inequality to find out how many hours of labor are needed for maximum production. Graph the solution set.

• 200 hours

• 400 hours

• 300 hours

• 500 hours

A restaurant has a special offer where a meal costs $12 and a drink costs $3. If a customer wants to spend no more than $30, write and solve an inequality for the number of meals (m) and drinks (d) they can order. Graph the solution set.

• 2m + 4d ≤ 12

• The inequality is 4m + d ≤ 10.

• 5m + 2d ≤ 15

• 3m + d ≤ 8