The number of years it took the tree to double its height
The average number of feet that the tree grew per year
The height, in feet, of the tree when the tree was year old
The average number of years it takes similar trees to grow feet
Explanation
Correct answer: B.
Choice B is correct. The height of the tree at a given time is equal to its height when it was planted plus the number of feet that the tree grew. In the given equation, represents the height of the tree at the given time, and represents the height of the tree when it was planted. It follows that represents the number of feet the tree grew from the time it was planted until the time it reached a height of feet. Since represents the number of years between the given time and the time the tree was planted, must represent the average number of feet the tree grew each year.
Desmos solution:
Note: h(1)-h(0)=2, so the tree's height increases by 2 feet each year.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect and may result from interpreting the coefficient as doubling instead of as increasing by each year.
Choice C
Choice C is incorrect. The height of the tree when it was year old was feet, not feet.
Choice D
Choice D is incorrect. No information is given to connect the growth of one particular tree to the growth of similar trees.