Final answer:
The inequality needed to find the potential growth of the newly planted tree from its current height of 6 feet to the maximum of 35 feet is 0 ≤ x ≤ 29. None of the options provided directly match this inequality, but the problem likely intended to provide an option reflecting the tree's growth potential from its current height to its maximum.
Step-by-step explanation:
The question is asking to find the possible values of how many more feet the newly planted tree can grow, given that its maximum height will be 35 feet and it is currently 6 feet tall. To find the solution, we are looking for an inequality that represents the potential growth of the tree in terms of height in feet. to solve this problem, let's denote x as the number of feet the tree will grow. Since the tree is already 6 feet tall and can grow up to a maximum of 35 feet tall, the total height of the tree after it finishes growing should be 35 feet or less. Therefore, we need an inequality that takes the current height of the tree and the maximum possible height it can achieve to calculate the potential growth (x).
The correct inequality considering the maximum potential growth from the current height will be 0 ≤ x ≤ 29 because the tree can grow anywhere from 0 additional feet (if it is already at its maximum height, which is not the case here) to 29 more feet (to reach the maximum height of 35 feet). therefore, none of the provided options a, b, c, or d match our inequality, but the question likely meant to include an option that addresses the growth potential instead. The closest option would be 'c' if it were adjusted to 0 ≤ x < 29, which reflects that the tree can grow less than 29 more feet until it reaches its maximum height.