Subjects algebra

Graph Matching 3F4F0E

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1. **State the problem:** Match each situation (a, b, c, d) to one of the graphs (A, B, C) based on the description of the graph and the situation. 2. **Analyze each graph:** - Graph A: A straight line with positive slope means a constant rate of increase. - Graph B: A stepwise decreasing graph means values drop suddenly at intervals. - Graph C: A curve decreasing with a downward slope, starting flat then getting steeper, means a decreasing rate that accelerates. 3. **Match situations:** - a. Tyler pours the same amount of milk every morning. This is a constant increase over time, matching Graph A. - b. A plant grows the same amount every week. This is also a constant increase, matching Graph A. - c. The day started very warm, but then it got colder. Temperature decreases gradually, matching Graph C. - d. A carnival has an entry fee of 5 and tickets cost 1 each. Total cost increases in steps as tickets are bought, matching Graph B. 4. **Label axes and variables:** - For a and b (Graph A): Independent variable = time (days or weeks), Dependent variable = amount of milk or plant height. - For c (Graph C): Independent variable = time (hours), Dependent variable = temperature. - For d (Graph B): Independent variable = number of tickets, Dependent variable = total cost. Final matches: - a: Graph A - b: Graph A - c: Graph C - d: Graph B