Question
Unit 4 Quiz Retake 6 of 106 of 10 Items Question POSSIBLE POINTS: 1 Mickey's heat and air unit needs repairing. The relationship between the time in hours it will take for the repair and the labor charges in dollars is shown on the graph. What are the slope and the y-intercept of the function? What do the slope and y-intercept mean in relation to Mickey's unit repair? Responses The slope of the function is 80 which means it takes 80 hours it takes to repair the unit. The y-intercept is 100, which means the technician will charge $100 for each hour it takes to repair the unit. The slope of the function is 80 which means it takes 80 hours it takes to repair the unit. The y-intercept is 100, which means the technician will charge $100 for each hour it takes to repair the unit. The slope of the function is 80 which means the labor charge is $80 for each hour it takes to repair the unit. The y-intercept is 100, which means there is a one-time fee of $100, which could be the amount for a part needed for the repair or a fee changed to look at the unit to determine what repairs are needed. The slope of the function is 80 which means the labor charge is $80 for each hour it takes to repair the unit. The y-intercept is 100, which means there is a one-time fee of $100, which could be the amount for a part needed for the repair or a fee changed to look at the unit to determine what repairs are needed. The slope of the function is 100 which means it takes 100 hours it takes to repair the unit. The y-intercept is 80 which means the technician will charge $80 for each hour it takes to repair the unit. The slope of the function is 100 which means it takes 100 hours it takes to repair the unit. The y-intercept is 80 which means the technician will charge $80 for each hour it takes to repair the unit. The slope of the function is 100 which means the labor charge is $100 for each hour it takes to repair the unit. The y-intercept is 80, which means there is a one-time fee of $80, which could be the amount for a part needed for the repair or a fee changed to look at the unit to determine what repairs are needed.
Answers
GPT-4o mini
To analyze this problem, we need to clarify the meanings of the slope and y-intercept in the context of labor charges for repairing Mickey's heat and air unit:
1. **Slope (m)**: The slope represents the rate of change in the dependent variable (labor charges) with respect to the independent variable (time in hours). A slope of 80 means that for every hour of labor, the technician charges $80.
2. **Y-Intercept (b)**: The y-intercept represents the value of the dependent variable when the independent variable is zero (i.e., when no time has been spent on repair). A y-intercept of 100 indicates that there is a fixed charge of $100, which could cover a diagnostic fee or initial costs for the repair.
Based on the provided options, the correct interpretation is:
- **The slope of the function is 80**, which means the labor charge is **$80 for each hour** it takes to repair the unit.
- **The y-intercept is 100**, which means there is a **one-time fee of $100**, which could be for diagnostic reasons or an initial charge related to the repair.
Thus, the appropriate response reflecting these insights is:
**The slope of the function is 80, which means the labor charge is $80 for each hour it takes to repair the unit. The y-intercept is 100, which means there is a one-time fee of $100, which could be the amount for a part needed for the repair or a fee charged to look at the unit to determine what repairs are needed.**
1. **Slope (m)**: The slope represents the rate of change in the dependent variable (labor charges) with respect to the independent variable (time in hours). A slope of 80 means that for every hour of labor, the technician charges $80.
2. **Y-Intercept (b)**: The y-intercept represents the value of the dependent variable when the independent variable is zero (i.e., when no time has been spent on repair). A y-intercept of 100 indicates that there is a fixed charge of $100, which could cover a diagnostic fee or initial costs for the repair.
Based on the provided options, the correct interpretation is:
- **The slope of the function is 80**, which means the labor charge is **$80 for each hour** it takes to repair the unit.
- **The y-intercept is 100**, which means there is a **one-time fee of $100**, which could be for diagnostic reasons or an initial charge related to the repair.
Thus, the appropriate response reflecting these insights is:
**The slope of the function is 80, which means the labor charge is $80 for each hour it takes to repair the unit. The y-intercept is 100, which means there is a one-time fee of $100, which could be the amount for a part needed for the repair or a fee charged to look at the unit to determine what repairs are needed.**