There are 28 students going on a field trip. The school has a van that can seat 12 students. The rest of the students will ride in cars, with 3 students in each car.

Elena wonders if she should use the inequality \(12+3n>28\) or \(12+3n\geq28\) to figure out how many cars are needed. Kiran doesn’t think it matters in this case. Do you agree with Kiran? Explain your reasoning.

1. A school principal is ordering tables for the cafeteria. There is already one large, 10-seat table that they are keeping. All the new tables will have 4 seats. The cafeteria needs to seat at least 200 students. Write an inequality whose solution is the number of 4-seat tables the principal should order.
2. The principal is also ordering rain barrels to collect water in the schoolyard. The school already has one small barrel that holds 10 gallons. The principal wants to order 4 more barrels so that all the barrels combined will hold at least 200 gallons. Write an inequality whose solution is the size of each of the 4 barrels if they are the same size.
3. How are these two problems similar? How are they different?

Solve each equation.

Select all the inequalities for which the solution matches this number line.

A lunar rover that weighs 200 pounds on Earth will weigh 33 pounds on the Moon.

1. How much does the rover’s weight decrease?
2. By what percentage does the rover’s weight decrease?