A concave-up, increasing curve is plotted on a coordinate plane. The x-axis ranges from 0 to 4 in increments of 0.1 but labeled at 0.5 intervals. The y-axis ranges from 0 to 800 in increments of 50 but labeled at intervals of 200. The curve passes through 4 marked and labeled points.
Which of the following situations could describe the graph?
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Responses
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.
Niall rents a bike for $20 per hour.
Niall rents a bike for $20 per hour.
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.
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1 answer
The situation that best describes the concave-up, increasing curve on the graph is:
There are 200 cockroaches in a building, and the population triples every day.
This situation depicts exponential growth, where the population starts at a certain amount (200 cockroaches) and grows rapidly (triples) over time, which results in a concave-up curve. The other options either describe linear growth or slower exponential growth, which would not match the description of the graph provided.
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