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 trees were planted to average height

1 to 10
3 to 24
6 to 45
11 to 80
15 to 108

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

f (x) =

Answer 1

f(x) = 7x + 3

Reason: slope = (108 − 10)/(15 − 1) = 98/14 = 7, and using (1,10): 10 = 7(1) + b ⇒ b = 3.