Final answer:
To determine the relationship between the height of the first and second plant given the inequality 5 * 0.5w > 4 * 0.75w, we need to solve the inequality for w. The condition does not guarantee that the height of the first plant will always be more than the second plant.
Step-by-step explanation:
To determine if the height of the first plant will be more than the second plant, we need to solve the inequality 5 * 0.5w > 4 * 0.75w.
Step 1: Multiply each side of the inequality by w to get rid of the denominators.
Step 2: Simplify the equation: 2.5w > 3w.
Step 3: Subtract 2.5w from both sides to isolate w on one side of the equation.
Step 4: Simplify the equation further: 0.5w > 0.
Since the coefficient of w is positive, dividing both sides of the equation by 0.5 does not change the direction of the inequality. So, w > 0.
This means that the condition is not specific enough to conclude that the height of the first plant will always be more than the second plant. Therefore, the correct answer is b. False.