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 (feet)
1 | 10
3 | 24
6 | 45
11 | 80
15 | 108


Based on the table, which function represents this situation?


(1 point)

f(x)=3x+7


f(x)=−7x−3


f(x)=−3x


f(x)=7x+3

Answer 1

f(x) = 7x + 3

Reason: slope = (24−10)/(3−1)=14/2=7 (consistent for all pairs). Using (1,10): 7(1)+b=10 → b=3, so f(x)=7x+3.