Use the number line to find the coordinate of the point with a fraction distance of 1/6 from A to B. *
10 points
A
B
-8-7-6-5-4-3-2-1
0
1
1
2
3
4
5
6
-5
-1
2
O 1

-5

Step-by-step explanation:

Coordinate of A = -7

Coordinate if B = 5

Distance of AB = |-7 - 5| = |-12| = 12

We are asked to find the coordinate of the point that would be ⅙ from the A to B, which is ⅙ of AB.

Let's find what ⅙ of AB is.

AB = 12

Therefore, ⅙ of AB = ⅙*12 = 2.

From point A (-7), we move 2 points towards B which will give us ⅙ from A to B.

The coordinate = -7 + 2 = -5

-5 is the coordinate of the point with a fraction distance of ⅙ from A to B.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).