Question

numeric 1 point
x f(x)
-4 5
0 13
2 17
the table shows some values of the linear function f. what is the value of $f(9.5)$?
answer

Explanation:

Step1: Find slope $m$

Use points $(0,13)$ and $(2,17)$:
$$m=\frac{17-13}{2-0}=\frac{4}{2}=2$$

Step2: Identify y-intercept $b$

From point $(0,13)$, $b=13$.

Step3: Write linear function

$$f(x)=mx+b=2x+13$$

Step4: Calculate $f(9.5)$

Substitute $x=9.5$:
$$f(9.5)=2(9.5)+13=19+13$$

Answer:

32