The function f(x)=18000(0.52)x   represents the value in dollars of a vehicle x years after it has been purchased new. what is the average rate of change in value per year between years 4 and 8?  −$18000/year −$1219.87/year −$304.97/year −$0.52/year

−$304.97/year

Step-by-step explanation:

We know that the rate of change of function=

Thus, for the required situation the rate of change of function per year between years 4 and 8=

Hence the average rate of change in value per year between years 4 and 8= -$304.97 per year.

  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).