1. **Stating the problem:** We are given a table of time (in hours) and corresponding height (in meters) values: | Time (hours) | 0 | 1 | 2 | 3 | | Height (m) | 28 | 8 | 48 | 16 | We want to analyze the relationship between time and height. 2. **Understanding the problem:** The data does not show a simple linear or quadratic pattern at first glance. We can try to find a function or pattern that fits these points. 3. **Checking for linearity:** A linear function has the form $y = mx + b$. Calculate slopes between points: Between 0 and 1: $\frac{8 - 28}{1 - 0} = -20$ Between 1 and 2: $\frac{48 - 8}{2 - 1} = 40$ Between 2 and 3: $\frac{16 - 48}{3 - 2} = -32$ Slopes are not constant, so the function is not linear. 4. **Checking for other patterns:** Since the heights vary irregularly, it might be a piecewise function or data from an experiment. 5. **Summary:** Without additional context or a formula, we can only plot these points or interpolate between them. **Final answer:** The data points are (0,28), (1,8), (2,48), (3,16). No simple algebraic function fits all points exactly.