The table below shows a linear relationship between the average height in feet of trees on a tree farm and the number of years since the trees were planted

| 1 | 3 | 6 |11| 15 |numbers of years since the trees were planted
|10|24|45|80|105|average height(ft)

what is the rate of change of the average height in feet of trees on the farm with respect to the number of years since they were planted
a14ft/yr
b3ft/yr
c7ft/yr
d10ft/yr

C  7ft/yr

Step-by-step explanation:

The given points are not all on the same line, so the average will vary depending on the interval of interest.

Over the interval [1, 11] years, the average rate of change of height is ...

  change in height / change in years = (80 -10)/(11 -1) = 70/10 = 7 . . . ft/yr

__

On the interval [11, 15] years, the average rate of change is ...

  (105 -80)/(15 -11) = 25/4 = 6.25 . . . ft/yr

Even on this interval, the closest answer choice is C.

false

ajkdfbwladnfwisafrw