Question

The graph below shows the survey results for a group of students who were asked how many honors classes they have taken and how many elective classes

Class Chale
Number of Honors Class
How many elective classes would a student likely have taken it he or she has taken 12 honors classes?
O 15, because y
*+9
O 12, because y-y-
9
O 6, because y
+ 9
3. because y

Answer 1

D

Explanation:

Answer 2

3, because y = negative one halfx + 9

Explanation:

It is given that the line of best fit crosses the y axis at 9 and passes through the point 6 and 6 i.e. it passes through (0,9) and (6,6).

so we will find the equation of line of best fit.

We know that the equation of line passing through two points (a,b) and (c,d) is calculated as:

`y-b=(d-b)/(c-a)x (x-a)`

Here we have:

(a,b)=(0,9) and (c,d)=(6,6).

Hence, the equation of line is:

`y-6=(6-9)/(6-0) x(x-0) \\\\y-9=(-3)/(6) X x\\\\y=(-1)/(2) x+9`

Hence, the equation of this line of best fit in slope-intercept form is:

`y=(-1)/(2) x+9`

Now we are asked to find the value of y when x=12.

`y=(-1)/(2) x12+9\\y=-6+9\\y=3`

Hence, the correct answer is:

3, because y = negative one halfx + 9