Mai says that equations A and B have the same solution. Equation A: –3(x + 7) = 24
Equation B:x + 7 = -8
Explain why this is true?

Step-by-step explanation:

Equation A:

-3(x + 7) = 24

=> -3x -21 = 24

=> -3x = 45

=> x = -15

Equation B:

x + 7 = -8

=> x = -15

  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).