1) Calculate the average rate of change over the interval from x=−4 to x=3
y=−3x+1

a) -2
b) 6
c) 8
d) 12

2) Calculate the average rate of change over the interval from x=1 to x=3

x y
0 -8
1 -5
2 4
3 19

a) -2
b) 6
c) 8
d) 12

-2 and 12

Step-by-step explanation:

1) Use distance between points formula

(x1,y1) (x2,y2) = (-4,13) (3,8)

since rise/run, -(21/7) = -2 so closest average is -2

2) Do the same as first question

You should get around 12

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6