Translating Compound Inequalities: Real-World Scenarios

A store sells pencils for between $0.50 and $1.50 each. If you want to buy at least 10 pencils, how much will you spend? Write a compound inequality to represent the total cost.

• 5.00 <= total cost <= 15.00

• 3.00 <= total cost <= 10.00

• 0.00 <= total cost <= 5.00

• 10.00 <= total cost <= 20.00

A class has between 20 and 30 students. If each student needs at least 2 notebooks, what is the range of notebooks needed? Write a compound inequality for the total number of notebooks.

• 30 <= 2s <= 50

• 40 <= 2s <= 60

• 20 <= 2s <= 40

• 50 <= 2s <= 70

A swimming pool can hold between 5000 and 7000 gallons of water. If the pool is currently filled with 3000 gallons, how many more gallons can be added? Write a compound inequality to represent this situation.

• (4000, 6000)

• (2000, 4000)

• (1000, 3000)

• (3000, 5000)

A concert venue can seat between 2000 and 3000 people. If tickets are sold for $25 each, what is the range of revenue that can be generated? Write a compound inequality for the total revenue.

• 0 <= revenue <= 25000

• 30000 <= revenue <= 50000

• 50000 <= revenue <= 75000

• 100000 <= revenue <= 150000

A runner wants to complete a race in between 25 and 30 minutes. If they have already run for 15 minutes, how much longer do they need to run? Write a compound inequality to find the time left.

• The runner needs to run between 5 and 10 minutes longer.

• The runner needs to run between 20 and 25 minutes longer.

• The runner needs to run between 10 and 15 minutes longer.

• The runner needs to run between 15 and 20 minutes longer.

A car can travel between 25 and 35 miles per gallon. If you plan to drive 300 miles, what is the range of gallons of gas you will need? Write a compound inequality for the gallons of gas required.

• 8.57 <= gallons <= 12

• 10 <= gallons <= 15

• 12 <= gallons <= 18

• 5 <= gallons <= 10

A bakery sells cookies for between $1 and $3 each. If you want to buy at least 12 cookies, what is the range of money you will spend? Write a compound inequality to represent the total cost.

• 10 <= x <= 30

• 15 <= x <= 45

• 12 <= x <= 36

• 5 <= x <= 20

A student needs to score between 70% and 90% on a test to pass. If they have already scored 60%, what range of scores do they need on the remaining questions? Write a compound inequality for the required scores.

• 0.6T - 0.6A <= x <= 0.7T - 0.6A

• 0.7T - 0.6A <= x <= 0.9T - 0.6A

• 0.5T - 0.6A <= x <= 0.8T - 0.6A

• 0.8T - 0.6A <= x <= 1.0T - 0.6A

A bike can travel between 10 and 15 miles per hour. If you want to ride for 2 hours, what is the range of distance you can cover? Write a compound inequality for the distance traveled.

• 30 <= d <= 40

• 15 <= d <= 25

• 10 <= d <= 20

• 20 <= d <= 30

A gardener wants to plant between 50 and 100 flowers. If they have already planted 30 flowers, how many more can they plant? Write a compound inequality to represent the additional flowers needed.

• (30, 80)

• (0, 50)

• (20, 70)

• (10, 60)