Question
Graph has points (0,20), (1,60), (2,180), (3,540)
Which situation could describe the graph
Juveidy puts $20 in a high yield savings account. His investment triples every year
Naili rents a bike for $20?per hour
Sienna buys a vintage record for $20. It’s value appreciates by 20 percent each year
There are 200!cockroaches in a building and the population triples every day
Which situation could describe the graph
Juveidy puts $20 in a high yield savings account. His investment triples every year
Naili rents a bike for $20?per hour
Sienna buys a vintage record for $20. It’s value appreciates by 20 percent each year
There are 200!cockroaches in a building and the population triples every day
Answers
GPT-4o mini
To analyze the given points on the graph: (0, 20), (1, 60), (2, 180), (3, 540), we need to determine which situation matches these values.
1. **Juveidy puts $20 in a high yield savings account. His investment triples every year:**
- Initial amount: $20
- After 1 year: \( 20 \times 3 = 60 \)
- After 2 years: \( 60 \times 3 = 180 \)
- After 3 years: \( 180 \times 3 = 540 \)
- This scenario matches the points provided.
2. **Naili rents a bike for $20 per hour:**
- This would not show the increasing pattern of the points; the total cost increases linearly, not exponentially.
3. **Sienna buys a vintage record for $20. It’s value appreciates by 20 percent each year:**
- After 1 year: \( 20 \times 1.2 = 24 \)
- After 2 years: \( 24 \times 1.2 = 28.8 \)
- After 3 years: \( 28.8 \times 1.2 = 34.56 \)
- This does not match the points.
4. **There are 200 cockroaches in a building and the population triples every day:**
- Initial amount: 200
- After 1 day: \( 200 \times 3 = 600 \)
- This does not match the points as it starts from 200.
Based on the analysis, the situation that describes the graph is:
**Juveidy puts $20 in a high yield savings account. His investment triples every year.**
1. **Juveidy puts $20 in a high yield savings account. His investment triples every year:**
- Initial amount: $20
- After 1 year: \( 20 \times 3 = 60 \)
- After 2 years: \( 60 \times 3 = 180 \)
- After 3 years: \( 180 \times 3 = 540 \)
- This scenario matches the points provided.
2. **Naili rents a bike for $20 per hour:**
- This would not show the increasing pattern of the points; the total cost increases linearly, not exponentially.
3. **Sienna buys a vintage record for $20. It’s value appreciates by 20 percent each year:**
- After 1 year: \( 20 \times 1.2 = 24 \)
- After 2 years: \( 24 \times 1.2 = 28.8 \)
- After 3 years: \( 28.8 \times 1.2 = 34.56 \)
- This does not match the points.
4. **There are 200 cockroaches in a building and the population triples every day:**
- Initial amount: 200
- After 1 day: \( 200 \times 3 = 600 \)
- This does not match the points as it starts from 200.
Based on the analysis, the situation that describes the graph is:
**Juveidy puts $20 in a high yield savings account. His investment triples every year.**