Question
Which equation does NOT represent its situation?(1 point)
Responses
y=12x+50
Emma charges $12 per hour for walking dogs. A customer paid her an additional $50 tip upfront for excellent service.
y is equal to 12 x plus 50 Emma charges $12 per hour for walking dogs. A customer paid her an additional $50 tip upfront for excellent service.
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=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.
Responses
y=12x+50
Emma charges $12 per hour for walking dogs. A customer paid her an additional $50 tip upfront for excellent service.
y is equal to 12 x plus 50 Emma charges $12 per hour for walking dogs. A customer paid her an additional $50 tip upfront for excellent service.
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=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.
Answers
GPT-4o mini
To determine which equation does not accurately represent its situation, we need to analyze the given equations based on the descriptions provided.
1. **Emma's Situation**:
- Equation: \( y = 12x + 50 \)
- Description: Emma charges $12 per hour and receives a $50 tip.
- This is correctly represented by the equation.
2. **Sophia's Situation**:
- Equation: \( y = 75x + 30 \)
- Description: Sophia tutors at $30 per hour and gets a $75 bonus.
- The equation incorrectly represents her situation. It should be \( y = 30x + 75 \).
3. **Liam's Situation**:
- Equation: \( y = 15.80x + 200 \)
- Description: Liam earns $15.80 per hour and has a starting bonus of $200.
- This is correctly represented by the equation.
4. **James's Situation**:
- Equation: \( y = 22.50x + 150 \)
- Description: James earns $22.50 per hour and received a $150 setup fee.
- This is correctly represented by the equation.
The equation that does NOT represent its situation is:
**\( y = 75x + 30 \)** for Sophia's tutoring situation. The correct equation should be \( y = 30x + 75 \).
1. **Emma's Situation**:
- Equation: \( y = 12x + 50 \)
- Description: Emma charges $12 per hour and receives a $50 tip.
- This is correctly represented by the equation.
2. **Sophia's Situation**:
- Equation: \( y = 75x + 30 \)
- Description: Sophia tutors at $30 per hour and gets a $75 bonus.
- The equation incorrectly represents her situation. It should be \( y = 30x + 75 \).
3. **Liam's Situation**:
- Equation: \( y = 15.80x + 200 \)
- Description: Liam earns $15.80 per hour and has a starting bonus of $200.
- This is correctly represented by the equation.
4. **James's Situation**:
- Equation: \( y = 22.50x + 150 \)
- Description: James earns $22.50 per hour and received a $150 setup fee.
- This is correctly represented by the equation.
The equation that does NOT represent its situation is:
**\( y = 75x + 30 \)** for Sophia's tutoring situation. The correct equation should be \( y = 30x + 75 \).