Aline of best fit is f(x) ≈ −0.86x + 13.5 for the set of points in the table. using the equation for the line of best fit, what is a good approximation for the value of the function, f(x), when x = 18?
2 12
3 10
5 10
6 8
7 9
8 5
9 6
1. −5
2. −2
3. 3
4. 12

 -2

Step-by-step explanation: f(x)≈ -0.86x+13.5

   putting x=18 in f(x), we get

     f(x)≈ -0.86×18+13.5

  ⇒      f(x)≈ -15.48+13.5

  ⇒      f(x)≈ -1.98

  ⇒      f(x)≈ -2

Option 2 - f(x)=-2

Step-by-step explanation:

Given : A line of best fit is f(x) ≈ −0.86x + 13.5 for the set of points in the table.

2    12

3    10

5    10

6     8

7     9

8     5

9     6

To find :  What is a good approximation for the value of the function, f(x), when x = 18?

Solution :

We have given the function,

The best fit for the value x=18, f(x) is

Approximately, For the value of x=18, f(x)=-2

Therefore, Option 2 is correct.