Question

A principal is organizing a field trip for more than 400 students. She has already arranged the transportation for 330 students. Each school bus has the capacity to transport 35 students. Which of the following inequalities could be used to solve for x, the number of school buses still needed to transport all of the students?

A. 35x + 330 > 400
B. 35x > 730
C. 35x - 330 > 400
D. 35x > 400

Answer 1

The correct inequality to determine the number of additional school buses needed to transport more than 400 students, considering 330 are already accounted for, is 35x + 330 > 400.

Step-by-step explanation:

The principal is organizing a field trip for more than 400 students and needs to figure out how many additional buses are required to transport all of them if each bus has a capacity of 35 students. Since transportation for 330 students is already arranged, the number of students still needing transportation is more than 400 minus 330, which is more than 70 students. As each additional bus can transport 35 students, the inequality to represent the number of buses (x) needed would be 35x + 330 > 400. This inequality ensures that with x buses, plus the 330 students already accounted for, more than 400 students will be transported.