Question

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Answer 1

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)

`\begin{gathered} f(x)=100-4x \\ f(5)=100-4(5) \\ f(5)=100-20 \\ f(5)=80 \end{gathered}`

Justin f(-5)

`\begin{gathered} f(x)=100-4x \\ f(-5)=100-4(-5) \\ f(-5)=100+20 \\ f(-5)=120 \end{gathered}`

Karen f(25)

`\begin{gathered} f(x)=100-4x \\ f(25)=100-4(25) \\ f(25)=100-100 \\ f(25)=0 \end{gathered}`

Mia f(-25)

`\begin{gathered} f(x)=100-4x \\ f(-25)=100-4(-25) \\ f(-25)=100+100 \\ f(-25)=200 \end{gathered}`

Therefore, the students' responses in order from the greatest to the smallest is;

Mia = 200.

Justin = 120

Brendan = 80

Karen = 0