Inequalities in Action: Budgeting and Planning Skills

A school is planning a field trip and has a budget of $500. If each student pays $25 and there are x students attending, write an inequality to represent the situation. How many students can attend if the total cost must not exceed the budget?

• 25

• 15

• 20

• 30

Maria has $120 to spend on supplies for her art project. If she buys paint for $15 and brushes for $5 each, write an inequality to find out how many brushes she can buy. Interpret the solution in the context of her budget.

• x <= 10

• x <= 30

• x <= 21

• x <= 15

A 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, write an inequality to represent the number of classes they can attend. What is the maximum number of classes they can take?

• 12

• 16

• 14

• 10

Tom is saving money to buy a new bike that costs $300. He saves $20 each week. Write an inequality to show how many weeks it will take him to save enough money. Interpret the solution in the context of his savings plan.

• w <= 15

• w < 15

• w >= 15

• w > 15

A concert venue can hold a maximum of 1,200 people. If 300 tickets have already been sold and each ticket costs $50, write an inequality to determine how many more tickets can be sold without exceeding the venue's capacity. What does your solution indicate?

• x = 600

• x >= 1200

• x <= 900

• x < 900

A farmer has 200 acres of land. He wants to plant corn and soybeans, with each acre of corn requiring 2 hours of labor and each acre of soybeans requiring 3 hours. If he has a total of 600 hours of labor available, write an inequality to represent the situation. How many acres of each crop can he plant?

• The farmer can plant 50 acres of corn and 150 acres of soybeans.

• The farmer can plant up to 200 acres of corn and 0 acres of soybeans, or any combination that satisfies the inequalities.

• The farmer can plant 300 acres of corn and 0 acres of soybeans.

• The farmer can plant 100 acres of corn and 100 acres of soybeans.

A bookstore is having a sale where each book costs $8. If a customer wants to spend no more than $64, write an inequality to find out how many books they can buy. What does the solution tell you about their purchasing options?

• x = 8

• x >= 8

• x < 8

• x <= 8

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer wants to keep their total cost under $100, write an inequality to represent the miles they can drive. How many miles can they drive without exceeding their budget?

• 150 miles

• 300 miles

• 200 miles

• 249 miles

A local charity is collecting donations. They have already received $150 and want to raise at least $500. If each donation is at least $25, write an inequality to find out how many more donations they need. Interpret the solution in the context of their fundraising goal.

• They need at least 5 more donations.

• They need at least 14 more donations.

• They need at least 20 more donations.

• They need at least 10 more donations.

A student is planning to buy snacks for a party. If each snack costs $3 and they have a budget of $30, write an inequality to determine how many snacks they can buy. What does your solution indicate about their snack purchasing plan?

• x < 10

• x <= 10

• x <= 5

• x >= 10