Question
(0,20) (1.60) (2,180) (3,540)
Which of the following situations could describe the graph?
(1 point)
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.
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.
Juveldy puts $20 in a high-yield savings account. His investment triples every year.
Which of the following situations could describe the graph?
(1 point)
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.
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.
Juveldy puts $20 in a high-yield savings account. His investment triples every year.
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To determine which situation could describe the graph, we need to analyze the points given:
- (0, 20)
- (1, 60)
- (2, 180)
- (3, 540)
The first coordinate represents time (in years), and the second coordinate represents the value or population at that time.
Let's evaluate the options given:
1. **There are 200 cockroaches in a building, and the population triples every day.**
- This would imply exponential growth starting from 200, which does not match the initial point (0, 20).
2. **Sienna buys a vintage record for $20. Its value appreciates by 20 percent each year.**
- Initially, the value is $20. After one year: $20 + (20% of $20) = $20 + $4 = $24 (not matching). This will not fit with the points provided.
3. **Niall rents a bike for $20 per hour.**
- This suggests a linear increase based on hours rented. It does not correspond with the exponential growth indicated by the points.
4. **Juveldy puts $20 in a high-yield savings account. His investment triples every year.**
- If we start with $20 and it triples:
- Year 0: $20
- Year 1: $20 * 3 = $60
- Year 2: $60 * 3 = $180
- Year 3: $180 * 3 = $540
- This matches exactly with all given points.
Therefore, the correct response is:
**Juveldy puts $20 in a high-yield savings account. His investment triples every year.**
- (0, 20)
- (1, 60)
- (2, 180)
- (3, 540)
The first coordinate represents time (in years), and the second coordinate represents the value or population at that time.
Let's evaluate the options given:
1. **There are 200 cockroaches in a building, and the population triples every day.**
- This would imply exponential growth starting from 200, which does not match the initial point (0, 20).
2. **Sienna buys a vintage record for $20. Its value appreciates by 20 percent each year.**
- Initially, the value is $20. After one year: $20 + (20% of $20) = $20 + $4 = $24 (not matching). This will not fit with the points provided.
3. **Niall rents a bike for $20 per hour.**
- This suggests a linear increase based on hours rented. It does not correspond with the exponential growth indicated by the points.
4. **Juveldy puts $20 in a high-yield savings account. His investment triples every year.**
- If we start with $20 and it triples:
- Year 0: $20
- Year 1: $20 * 3 = $60
- Year 2: $60 * 3 = $180
- Year 3: $180 * 3 = $540
- This matches exactly with all given points.
Therefore, the correct response is:
**Juveldy puts $20 in a high-yield savings account. His investment triples every year.**
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