A tree grows by 0.5 feet each year. If the initial height of the tree is 10 feet, write the equation that represents the height, h, of the tree after t years. The equation is h = ____.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to write a linear equation based on a given scenario. The key elements are the initial value and the constant rate of change.
Key Concept Explanation
In a linear relationship, the dependent variable changes by a constant absolute amount for each unit increase in the independent variable. The general form of a linear equation is , where is the slope (rate of change) and is the y-intercept (initial value).
Step-by-step Solution
1. Identify the initial value: The initial height of the tree is 10 feet, so
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