the table shows the linear relationship between the average height in feet of trees on a tree farm and the number of years since the trees were planted.
AVERAGE TREE HEIGHT.
number of years since the trees were planted: 1 | 3 | 6 | 11 | 15
average height: 10 | 24 | 45 | 80 | 108
what is the rate of change of the average height in feet of the trees on the farm with respect to the number of years since the trees were planted?
A ) 14 ft/y2
B ) 3 ft/yr
C ) 7 ft/yr
D ) 10 ft/yr
To find the rate of change of the average height in feet of the trees with respect to the number of years since the trees were planted, we can calculate the average rate of change between any two data points.
Let's choose the data points (1, 10) and (11, 80).
The average rate of change is given by the formula:
Average Rate of Change = (change in average height) / (change in number of years)
The change in average height is 80 - 10 = 70 ft.
The change in number of years is 11 - 1 = 10 years.
Average Rate of Change = 70 ft / 10 years = 7 ft/yr.
Therefore, the rate of change of the average height in feet of the trees on the farm with respect to the number of years since the trees were planted is C) 7 ft/yr.