1. **State the problem:** Match each function description to the correct graph type. 2. **Analyze each function:** (a) The cost of painting a wall as a function of its square footage is typically a linear increasing function because cost increases proportionally with area. (b) The height of a ball dropped from a 210-foot building as a function of time follows a decreasing curve due to gravity pulling it down. (c) The height of a human as a function of time generally increases linearly or near-linearly during growth periods. (d) The demand for hamburger as a function of price usually decreases as price increases, so it is a decreasing function. (e) The height of a pendulum bob as a function of time oscillates sinusoidally because it swings back and forth. 3. **Match with graphs:** - Graph I: linear increasing function (matches (a) or (c)) - Graph II: wavy/sinusoidal function (matches (e)) - Graph III: linear increasing function with steeper slope (matches (c) if different from (a)) - Graph IV: semicircle shape (does not match any given function) - Graph V: decreasing curve (matches (b) and (d)) 4. **Final matching:** - (a) Cost of painting wall: Graph I (linear increasing) - (b) Height of dropped ball: Graph V (decreasing curve) - (c) Height of human: Graph III (linear increasing with steeper slope) - (d) Demand for hamburger: Graph V (decreasing curve) - (e) Height of pendulum bob: Graph II (sinusoidal) 5. **Summary:** (a) → I (b) → V (c) → III (d) → V (e) → II This matches the function behavior to the graph shapes logically.