Question

1. SCHOOL The number of students N in Vassia's school is given by N = 120 + 30G, where G is the grade level. Is 285in the range of this function?2. Name two examples of relationships that are discrete when graphed and two examplesthat are continuous whengraphed

Answer 1

If we set the given equation N=120+30G to N=285 and solve for G we get:

$\begin{gathered} 285=120+30G, \\ 285-120=30G, \\ 165=30G, \\ 5.5=G\text{.} \end{gathered}$

Therefore, if 285 is in the range of the function that would correspond to a G=5.5 which is not possible, because there is no such grade level as 5.5.

Answer: 285 is not in the range of the function.