A group of hikers buys 8 bags of mixed nuts. Each bag contains 3 1/2 cups of mixed nuts. The mixed nuts are shared evenly among 12 hikers. How many cups of mixed nuts will each hiker receive?

Step-by-step explanation:

There are cups of mixed but in each bag.

Since the hikers buys 8 bags, total number of cups in the bags will be:

8 X

=8 X

=4 X 7

Total number of cups bought =28 Cups

Since the mixed nut is share equally among 12 hikers, each hiker's share will be :

Total available Cups ÷ Number of Hikers= (28 ÷ 12) cups.

28÷ 12=

Each hiker will get cups of mixed nuts.

  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).