Question
Which equation does NOT represent its situation?(1 point)
Responses
y=22.50x+150
James earns $22.50 per hour as a freelance graphic designer. He received an initial setup fee of $150 from his first client.
y is equal to 22 point 5 0 x plus 150 James earns $22.50 per hour as a freelance graphic designer. He received an initial setup fee of $150 from his first client.
y=75x+30
Sophia tutors students at a rate of $30 per hour. She also received a one-time sign-up bonus of $75 from the tutoring platform.
y is equal to 75 x plus 30 Sophia tutors students at a rate of $30 per hour. She also received a one-time sign-up bonus of $75 from the tutoring platform.
y=15.80x+200
Liam works for a delivery service that pays him $15.80 per hour. He also received a starting bonus of $200.
y is equal to 15 point 8 0 x plus 200 Liam works for a delivery service that pays him $15.80 per hour. He also received a starting bonus of $200.
y=12x+50
Emma charges $12 per hour for walking dogs. A customer paid her an additional $50 tip upfront for excellent service.
Responses
y=22.50x+150
James earns $22.50 per hour as a freelance graphic designer. He received an initial setup fee of $150 from his first client.
y is equal to 22 point 5 0 x plus 150 James earns $22.50 per hour as a freelance graphic designer. He received an initial setup fee of $150 from his first client.
y=75x+30
Sophia tutors students at a rate of $30 per hour. She also received a one-time sign-up bonus of $75 from the tutoring platform.
y is equal to 75 x plus 30 Sophia tutors students at a rate of $30 per hour. She also received a one-time sign-up bonus of $75 from the tutoring platform.
y=15.80x+200
Liam works for a delivery service that pays him $15.80 per hour. He also received a starting bonus of $200.
y is equal to 15 point 8 0 x plus 200 Liam works for a delivery service that pays him $15.80 per hour. He also received a starting bonus of $200.
y=12x+50
Emma charges $12 per hour for walking dogs. A customer paid her an additional $50 tip upfront for excellent service.
Answers
GPT-4o mini
To determine which equation does NOT represent its situation correctly, we need to analyze each equation in the context provided:
1. **James's Situation:**
- Equation: \( y = 22.50x + 150 \)
- Description: James earns $22.50 per hour and received a setup fee of $150.
- This matches since the fixed amount ($150) is the initial setup fee.
2. **Sophia's Situation:**
- Equation: \( y = 75x + 30 \)
- Description: Sophia tutors at $30/hour and received a $75 sign-up bonus.
- This does NOT match because the $75 bonus is misrepresented as a fixed amount, and the hourly rate is incorrectly stated. It should be \( y = 30x + 75 \).
3. **Liam's Situation:**
- Equation: \( y = 15.80x + 200 \)
- Description: Liam is paid $15.80 per hour and received a starting bonus of $200.
- This matches since the fixed amount ($200) represents the bonus he received.
4. **Emma's Situation:**
- Equation: \( y = 12x + 50 \)
- Description: Emma charges $12/hour and received a $50 tip upfront.
- This matches since the fixed amount ($50) is additional income.
Based on this analysis, the equation that does NOT represent its situation correctly is:
**\( y = 75x + 30 \)** (Sophia's situation).
1. **James's Situation:**
- Equation: \( y = 22.50x + 150 \)
- Description: James earns $22.50 per hour and received a setup fee of $150.
- This matches since the fixed amount ($150) is the initial setup fee.
2. **Sophia's Situation:**
- Equation: \( y = 75x + 30 \)
- Description: Sophia tutors at $30/hour and received a $75 sign-up bonus.
- This does NOT match because the $75 bonus is misrepresented as a fixed amount, and the hourly rate is incorrectly stated. It should be \( y = 30x + 75 \).
3. **Liam's Situation:**
- Equation: \( y = 15.80x + 200 \)
- Description: Liam is paid $15.80 per hour and received a starting bonus of $200.
- This matches since the fixed amount ($200) represents the bonus he received.
4. **Emma's Situation:**
- Equation: \( y = 12x + 50 \)
- Description: Emma charges $12/hour and received a $50 tip upfront.
- This matches since the fixed amount ($50) is additional income.
Based on this analysis, the equation that does NOT represent its situation correctly is:
**\( y = 75x + 30 \)** (Sophia's situation).