Question

Part 1. A small bus can hold a maximum of 30 students.

a. Let y represent the number of students. Write an inequality to represent the situation.

b. Is 30 a possible value of x?


Part 2. In a science competition, students have to score more than 40 points in order to move on to the next round.


a. Write an inequality to represent this situation.

b. Students are only awarded points that are whole numbers. What is the least number of points a student needs to score in order to move on to the next round?


Part 3.

A stadium has a seating capacity of 65,000 spectators.


a. Write an inequality to represent this situation.

b. What is the maximum number of spectators the stadium can hold?

Part 4.
Gavin’s house is more than 5.4 miles from his school.

a. Let x represent the distance, in miles, between Gavin’s house and his school. Write an inequality to represent the situation.
b. Is 5 a possible value of x?

Answer 1

Part 1:

a. y ≤ 30 (the number of students y is less than or equal to 30)

b. Yes, 30 is a possible value of y, but it is the maximum value allowed.

Part 2:

a. x > 40 (the score x must be greater than 40 to move on to the next round)

b. The least number of points a student needs to score is 41, since the inequality is strict and only whole numbers are awarded.

Part 3:

a. x ≤ 65,000 (the number of spectators x is less than or equal to 65,000)

b. The maximum number of spectators the stadium can hold is 65,000.

Part 4:

a. x > 5.4 (the distance x between Gavin's house and his school is greater than 5.4 miles)

b. No, 5 is not a possible value of x since the inequality is strict and the distance must be greater than 5.4 miles.