To analyze which situation could describe a graph, we need to consider the nature of the situations described—specifically, whether they represent exponential growth or a linear relationship, as well as the values involved.
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Option A: Sienna buys a vintage record for $20, and its value appreciates by 20 percent each year. This represents exponential growth because the value increases by a percentage of its current value each year. This would typically produce a curved graph that rises sharply over time.
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Option B: Juveldy puts $20 in a high-yield savings account, and his investment triples every year. This is also exponential growth, specifically a tripling every year, leading to a very steep curve on the graph.
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Option C: There are 200 cockroaches in a building, and the population triples every day. This situation demonstrates exponential growth as well, with an even steeper increase compared to options A and B, which would also yield a rapid and steep curve on the graph.
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Option D: Niall rents a bike for $20 per hour. This is a linear situation where the cost increases at a constant rate ($20 for each hour). The graph would be a straight line, increasing steadily rather than exponentially.
Based on this analysis, if the graph you are referring to shows exponential growth, options A, B, or C could potentially describe it. If the graph shows a straight line, it would correspond to option D. Without seeing the graph, I can't specify which situation matches best. If the graph depicts a sharply rising curve, then options A, B, or C would make sense. If linear, option D would be correct.
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