The table shows values for a quadratic function. y
0
0
1
2
2
8
3
18
4
32
5
50
6
72
What is the average rate of change for this function for the interval from x = 3
to x = 5?
d
A. 10
O B. 32
ООО
O C. 16
D. 25

what do you mean

have a great day

look at the picture.

1.

ef : ab = 2 : 3

gf : cb = 2 : 3

gh : cd = 2 : 3

he : da = 2 : 3

2.

∠a ≅ ∠e

∠b ≅ ∠f

∠c ≅ ∠g

∠d ≅ ∠h

3.

use pythagorean theorem:

the length of the abcd trapezoid sides:

|ab| = 3 cm

|bc| = 10 cm

|cd| = 3(3) cm = 9 cm

|da| = 8 cm

the perimeter of abcd = 3 + 10 + 9 + 8 = 30 cm

the ratio of perimeters of the tarapezoids is equal 2 : 3.

substitute:

      cross multiply

      divide both sides by 3

< 4 = < 5 they are vertical angles

120 degrees