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=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=15.80x+200 Liam works for a delivery service that pays him $15.80 per hour. He also received a starting bonus of $200.
Answers
GPT-4o mini
To determine which equation does NOT accurately represent its situation, we need to analyze each equation based on the context provided.
1. **Sophia's tutoring**: The equation \( y = 75x + 30 \) suggests she earns $30 for some base amount (which is not the sign-up bonus) and $75 for each hour (which is incorrect). It should be \( y = 30x + 75 \), where \( y \) is her total earnings, \( x \) is the number of hours, and the sign-up bonus is $75.
2. **James' freelance graphic designing**: The equation \( y = 22.50x + 150 \) is correct. It represents $150 as the setup fee and $22.50 per hour.
3. **Emma walking dogs**: The equation \( y = 12x + 50 \) is correct. It indicates she earns $12 per hour and received a $50 tip.
4. **Liam's delivery service**: The equation \( y = 15.80x + 200 \) is correct. This also represents $200 as the starting bonus and $15.80 per hour.
The equation that does NOT represent its situation accurately is **\( y = 75x + 30 \)** for Sophia. The correct interpretation should reflect the sign-up bonus of $75 and her hourly rate of $30 as \( y = 30x + 75 \).
1. **Sophia's tutoring**: The equation \( y = 75x + 30 \) suggests she earns $30 for some base amount (which is not the sign-up bonus) and $75 for each hour (which is incorrect). It should be \( y = 30x + 75 \), where \( y \) is her total earnings, \( x \) is the number of hours, and the sign-up bonus is $75.
2. **James' freelance graphic designing**: The equation \( y = 22.50x + 150 \) is correct. It represents $150 as the setup fee and $22.50 per hour.
3. **Emma walking dogs**: The equation \( y = 12x + 50 \) is correct. It indicates she earns $12 per hour and received a $50 tip.
4. **Liam's delivery service**: The equation \( y = 15.80x + 200 \) is correct. This also represents $200 as the starting bonus and $15.80 per hour.
The equation that does NOT represent its situation accurately is **\( y = 75x + 30 \)** for Sophia. The correct interpretation should reflect the sign-up bonus of $75 and her hourly rate of $30 as \( y = 30x + 75 \).