Question

The graphs below shows some properties of regular

polygons.
When compared with the independent variable, how ma
of the graphs represent a linear relationship?
Oo
O
1
o o
onals from I Vertex
D
Number of Sides
hie and

Answer 1

C2

Explanation:

Answer 2

Corrected Question

The graphs below shows some properties of regular polygons. When compared with the independent variable, how many of the other three columns of the graphs represent a linear relationship?

(A)0 (B)1 (C)2 (D)3

Answer:

(C)2

Explanation:

Given the independent variable (Number of sides of the polygon), we notice that out of the three other columns:

Number of Diagonals

• Slope=
  `(1-0)/(4-3)= (2-1)/(5-4)=1`

Sum of all interior angles

• Slope=
  `(360-180)/(4-3)= (540-360)/(5-4)=180`

Measure of each angle

• Slope=
  `(90-60)/(4-3)\\eq (108-90)/(5-4)\\30 \\eq 18`

Therefore, the measure of each angle does not represent a linear relationship.

Only 2 columns represent a linear relationship.

The correct option is C.

See below for the table