Andrew spends every Saturday at the gym working out. He can complete 1/12 of his workout in 1/6 of an hour. If he continues at this rate, how much of his workout does Andrew complete per hour?
100 points

Please answer in a full sentence and show all work

½ workout in an hour

Step-by-step explanation:

Workout : hours

1/12 : 1/6

X : 1

X/1 = (1/12)/(1/6)

X = 1/12 × 6

X = 6/12

X = 1/2

  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).

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.