Question

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.

Number of years since the trees were planted | Average height (ft)
1 | 10
3 | 24
6 | 45
11 | 80
15 | 108

Based on the table, write a function to represent this situation.

f(x) = ?

Answer 1

f(x) = 7x + 3

Reason: slope = (24−10)/(3−1) = 7 ft/year, so f(x)=7x + b and 7(1)+b=10 gives b=3 (initial height 3 ft).