The function to be used is
f(x) = 100 - 4x.
The input value for each person has been provided. Therefore, their responses are as follows;
Brendan f(5)
[tex]\begin{gathered} f(x)=100-4x \\ f(5)=100-4(5) \\ f(5)=100-20 \\ f(5)=80 \end{gathered}[/tex]
Justin f(-5)
[tex]\begin{gathered} f(x)=100-4x \\ f(-5)=100-4(-5) \\ f(-5)=100+20 \\ f(-5)=120 \end{gathered}[/tex]
Karen f(25)
[tex]\begin{gathered} f(x)=100-4x \\ f(25)=100-4(25) \\ f(25)=100-100 \\ f(25)=0 \end{gathered}[/tex]
Mia f(-25)
[tex]\begin{gathered} f(x)=100-4x \\ f(-25)=100-4(-25) \\ f(-25)=100+100 \\ f(-25)=200 \end{gathered}[/tex]
Therefore, the students' responses in order from the greatest to the smallest is;
Mia = 200.
Justin = 120
Brendan = 80
Karen = 0