850 new members the number of members decrease by 11.6% every month. Whats the number of new members at the end of the year

194 members.

Step-by-step explanation:

In this scenario we need to to use the exponential decay formula to calculate the number of new members at the end of the year. The formula is the following

y =

where:

Now we can simply plug in the values into the formula. We need to use the decimal value of 11.6%. To get this we divide this by 100 which would give us 0.116. We also use 12 for x since there are 12 months in a year.

y =

y =

y =

y = 193.57

Since a member can only be a whole number we can would this to the nearest whole number which would mean that the total number of new members at the end of the year would be 194 members.

  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).