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
the answer is 7
To find 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, we need to calculate the slope of the linear relationship between the number of years and the average height.
In this case, we can use the formula for the slope of a line, which is:
slope = (change in y) / (change in x)
Looking at the table, we can see that the change in the average height is 105 - 10 = 95 ft, and the change in the number of years is 15 - 1 = 14 years.
So, the slope (rate of change) is 95 ft / 14 years ≈ 6.79 ft/year.
Therefore, 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 is approximately 6.79 ft/yr.
rate of change = (change in height) / (# years)
There are 4 intervals, so figure the 4 rates
Then take their average
Or, just take the total change over the total # years