Question

if f(x) is a linear function, what is the value of n?

\

$$\begin{tabular}{|c|c|} \\hline x & f(x) \\\\ \\hline -4 & -25 \\\\ \\hline -1 & -10 \\\\ \\hline n & 20 \\\\ \\hline \\end{tabular}$$

• 2
• 4
• 5
• 9

Explanation:

Calculate the slope of the linear function

$$ m = \frac{f(-1) - f(-4)}{-1 - (-4)} = \frac{-10 - (-25)}{-1 + 4} = \frac{15}{3} = 5 $$

Determine the linear equation

$$
LATEXBLOCK0
$$

Solve for n when f(n) = 20

$$
LATEXBLOCK1
$$

Answer:

• 2
• 4
• 5 (Correct answer)
• 9