The situations that could describe an exponential growth graph are:
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There are 200 cockroaches in a building, and the population triples every day. - This describes exponential growth because the population increases by a multiplication factor (tripling) over a consistent time period (daily).
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Sienna buys a vintage record for $20. Its value appreciates by 20 percent each year. - This is also exponential growth, as the value increases by a percentage of the current value over a consistent time period (annually).
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Juveldy puts $20 in a high-yield savings account. His investment triples every year. - This describes exponential growth as well because the investment increases by a multiplication factor (tripling) each year.
The situation that does not describe exponential growth is:
- Niall rents a bike for $20 per hour. - This is a linear situation, as the cost increases by a fixed amount ($20) for each hour rented.
In summary, the following situations could describe the graph displaying exponential growth:
- There are 200 cockroaches in a building, and the population triples every day.
- Sienna buys a vintage record for $20. Its value appreciates by 20 percent each year.
- Juveldy puts $20 in a high-yield savings account. His investment triples every year.