Match the tables with the direct variation equation. You will not use all options. Table A

x y
4 5
5 6.25
6 7.5

Table B

x y
7 1.61
12 2.76
14 3.22

Table C

x y
5 10.5
7 15
8 19.5

Table D

x y
0 0
11 35.2
15 48

The options are:
y=1.25x
not direct variation
y=0x
y=.23x
y=x+1
y=3.2x
y=5.5x

the answer is table d 12 =12+34=4

Step-by-step explanation:

  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).