Question
Which equation does NOT represent its situation?(1 point)
Responses
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=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=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=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=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=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, we can look at each equation and compare it with the described scenarios.
1. **Sophia's Tutoring:**
- Equation: \( y = 75x + 30 \)
- Situation: $30 per hour + $75 one-time bonus
- **Correct equation should be:** \( y = 30x + 75 \)
2. **James's Graphic Design:**
- Equation: \( y = 22.50x + 150 \)
- Situation: $22.50 per hour + $150 initial fee
- **This equation is correct.**
3. **Liam's Delivery Service:**
- Equation: \( y = 15.80x + 200 \)
- Situation: $15.80 per hour + $200 starting bonus
- **This equation is correct.**
4. **Emma's Dog Walking:**
- Equation: \( y = 12x + 50 \)
- Situation: $12 per hour + $50 tip
- **This equation is correct.**
The equation that does NOT represent its situation is:
**\( y = 75x + 30 \)** for Sophia's tutoring, as it incorrectly states the hourly rate and bonus. The correct representation should be \( y = 30x + 75 \).
1. **Sophia's Tutoring:**
- Equation: \( y = 75x + 30 \)
- Situation: $30 per hour + $75 one-time bonus
- **Correct equation should be:** \( y = 30x + 75 \)
2. **James's Graphic Design:**
- Equation: \( y = 22.50x + 150 \)
- Situation: $22.50 per hour + $150 initial fee
- **This equation is correct.**
3. **Liam's Delivery Service:**
- Equation: \( y = 15.80x + 200 \)
- Situation: $15.80 per hour + $200 starting bonus
- **This equation is correct.**
4. **Emma's Dog Walking:**
- Equation: \( y = 12x + 50 \)
- Situation: $12 per hour + $50 tip
- **This equation is correct.**
The equation that does NOT represent its situation is:
**\( y = 75x + 30 \)** for Sophia's tutoring, as it incorrectly states the hourly rate and bonus. The correct representation should be \( y = 30x + 75 \).