Which expression is equivalent to 1/4y-1/2? a. 1/4(y-2) b. -1/4(y-1/2) c. -1/4(y-2) d. 1/4(y-1/2)

C

Step-by-step explanation:

We can take out 1/4 from each term.

1/4y / 1/4 = y

-1/2 / 1/4 = -0.5 * 4 = -2

Then, write out the expression.

1/4(y-2)

the answer to the question is a  

it has the same slope and the same y-intercept.

  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).