Randy wants to join a gym to lose his winter weight. gym a has a membership fee of $39 and charges $30 per month. gym b has a membership fee of $89 and charges $20 per month. after how many months would the amount of money paid at each gym be the same? how much would be paid?

5 months

Step-by-step explanation:

Value m= months

Gym A Money needed to pay= 30m+ 39

Gym B Money needed to pay= 20m+ 89

30m+ 39= 20m+ 89

Now isolate m

(30m-20m) + (39-39)= (20m-20m) + (89-39)

10m = 50

10m/10= 50/10

m=5; You can plug this number in to check my answer.

  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).