The table of values below represents a linear function and shows the height of a tree since it was transplanted. What was the height of the tree when it was transplanted?
Answers
Given : The table of values below represents a linear function and shows the height of a tree since it was transplanted.
Time 4 4.5 5 5.5 6
Height (feet) 12 13 14 15 16
To Find : What was the height of the tree when it was transplanted?
1 foot 2 feet 4 feet 8 feet
Solution:
Time Height (feet)
4 12
4.5 13
5 14
5.5 15
6 16
Slope = ( 14 - 12) / (5 - 4) = 2
Height - 12 = 2 ( Time - 4)
=> Height = 2 * Time + 4
when it was transplanted Time = 0
=> Height = 2 * 0 + 4
=> Height = 4 feet
4 feet was the height of the tree when it was transplanted
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