Two tanks are being filled. Tank 1 is being filled at a rate of 3/4 gallon per 2/3minute Tank 2 is filling at a rate of 5/8gallon per 1/2minute. Which tank is filling faster?

Tank 2 filling faster

Step-by-step explanation:

Tank 1 filling at 1 1/8 gallons per minute (3/4 ÷ 2/3)

Tank 2 filling at 1 1/4 gallons per minute (5/8 ÷ 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).