Question

The table shows the linear relationship between the average height in feet of trees on a tree farm andthe number of years since the trees were planted,Average Tree HeightNumber of Years Sincethe Trees were planted1361115Average Height (ft)10244580108m

Answer 1

Rate of change = change in y / change in x

From the table, number of years since the tree are planted are the x

They are; 1, 3, 6, 11 , 15

Average height are y, and they are;

10, 24, 45, 80, 105

Now, to calculate the rate of change, we will find the difference between two values of y then divide it by the difference between 2 values of x

If we are going to pick the first and second value of y, we must also pick the first and second value of x

If we are to pick the second and 3rd value of y, we must then pick the 2nd and 3rd value of x

That is;

rate of change = 24 -10 / 3-2

= 14/2

= 7 ft/yr