1. At a certain school, each bus in its fleet of buses can transport 35 students. Let be the function that assigns to
each count of students the number of buses needed to transport that many students on a field trip. When Jinpyo thought about matters, he drew the following table of values and wrote the formula

= 35. Here is the count of students, and is the number of buses needed to transport that many students. He
concluded that is a linear function.
Number of students () Number of buses ()
NYS COMMON CORE MATHEMATICS CURRICULUM
Exercises 1–3
35 70 105 140
1234
Alicia looked at Jinpyo’s work and saw no errors with his arithmetic. But she said that the function is not actually linear.
a. Alicia is right. Explain why is not a linear function.
b. Is a discrete function?