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.

Question

Average Tree Height
Number of Years Since the Trees Were Planted
1
3

11
15
Average Height (ft)
10
24
45
80
108
Based on the table, which function represents this situation?
f(x) = 3x+7
f (x)=-7x-3
f(x) =-3x
f(x) = 7x+3

Answer 1

The correct function that represents this situation is:

f(x) = 7x + 3

This is because the average height of the trees increases by 7 feet every year and there is an initial height of 3 feet when the trees were planted.