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Water and other materials necessary for biological activity in trees are absorbed by the roots and transported throughout the stem and branches in thin, hollow tubes in the xylem. Water may travel as fast as 150 feet per hour. Which of the following inequalities best describes the number of minutes, m, after being absorbed by the root, that it takes for water to reach a height of 250 feet above the ground? Choose 1 answer: (A) 150 m >= 250 (B) 150 m <= 250 (C) (5)/(2)m <= 250 (D) (5)/(2)m >= 250

Water and other materials necessary for biological activity in trees are absorbed by the roots and transported throughout the stem and branches in thin, hollow tubes in the xylem. Water may travel as fast as 150150 feet per hour. Which of the following inequalities best describes the number of minutes, m m , after being absorbed by the root, that it takes for water to reach a height of 250250 feet above the ground?\newlineChoose 11 answer:\newline(A) 150m≥250 150 m \geq 250 \newline(B) 150m≤250 150 m \leq 250 \newline(C) 52m≤250 \frac{5}{2} m \leq 250 \newline(D) 52m≥250 \frac{5}{2} m \geq 250

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Q. Water and other materials necessary for biological activity in trees are absorbed by the roots and transported throughout the stem and branches in thin, hollow tubes in the xylem. Water may travel as fast as 150150 feet per hour. Which of the following inequalities best describes the number of minutes, m m , after being absorbed by the root, that it takes for water to reach a height of 250250 feet above the ground?\newlineChoose 11 answer:\newline(A) 150m≥250 150 m \geq 250 \newline(B) 150m≤250 150 m \leq 250 \newline(C) 52m≤250 \frac{5}{2} m \leq 250 \newline(D) 52m≥250 \frac{5}{2} m \geq 250
  1. Converting rate to feet per minute: To find the time it takes for water to travel 250250 feet, we need to use the rate of 150150 feet per hour. We need to convert this rate to feet per minute since the question asks for the time in minutes.
  2. Finding the Rate: There are 6060 minutes in an hour, so we divide the rate by 6060 to convert it to feet per minute: \newline150 feet per hour60 minutes per hour=52 feet per minute.\frac{150 \text{ feet per hour}}{60 \text{ minutes per hour}} = \frac{5}{2} \text{ feet per minute}.
  3. Setting up the inequality: Since we are looking for an inequality that describes the time it takes for water to reach a height of 250250 feet above the ground, we want to express that 52×m\frac{5}{2} \times m should be greater than or equal to the time it takes to reach 250250 feet. \newlineTherefore, the inequality is 52m≥250 \frac{5}{2} m \geq 250 .
  4. Selecting the correct answer: Now we need to match our inequality with one of the given options. \newlineTherefore, the correct answer is option (D) 52m≥250 \frac{5}{2} m \geq 250 , which is equivalent to saying that the number of minutes mm after being absorbed by the root that it takes for water to reach a height of 250250 feet is greater than or equal to the time it takes to travel that distance at the rate of 52\frac{5}{2} feet per minute.

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