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A line is graphed on a coordinate plane.
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The horizontal axis ranges from 0 to 4 in increments of 0.5, and the vertical axis ranges from 0 to 800 in increments of 200. A curved, increasing line is drawn on the graph. Four points are marked along the line with their coordinates labeled as (0,20), (1,60), (2,180), and (3,540). The background is a grid of evenly spaced lines, and the axes are marked with numerical values.
Which of the following situations could describe the graph?
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Responses
There are 200 cockroaches in a building, and the population triples every day.
There are 200 cockroaches in a building, and the population triples every day.
Juveldy puts $20 in a high-yield savings account. His investment triples every year.
Juveldy puts $20 in a high-yield savings account. His investment triples every year.
Niall rents a bike for $20 per hour.
Niall rents a bike for $20 per hour.
Sienna buys a vintage record for $20. Its value appreciates by 20 percent each year.
Sienna buys a vintage record for $20. Its value appreciates by 20 percent each year.
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GPT-5 mini
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Juveldy puts $20 in a high-yield savings account. His investment triples every year.
Reason: the graph shows an initial value 20 at x=0 and multiplies by 3 each unit (20, 60, 180, 540), matching 20·3^x.
Reason: the graph shows an initial value 20 at x=0 and multiplies by 3 each unit (20, 60, 180, 540), matching 20·3^x.
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