Question
Which of the following scenarios can be modeled by a linear function?
the total pay of a person whose rate of pay per hour depends on the type of job
the total pay of a person whose rate of pay per hour depends on the type of job
the total pay of a person whose rate of pay per hour varies based on the difficulty of the job
the total pay of a person whose rate of pay per hour varies based on the difficulty of the job
the total pay of a person whose rate of pay per hour varies depending on the number of hours worked per week
the total pay of a person whose rate of pay per hour varies depending on the number of hours worked per week
the total pay of a person whose rate of pay per hour is fixed at $15 per hour
the total pay of a person whose rate of pay per hour is fixed at $15 per hour
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the total pay of a person whose rate of pay per hour depends on the type of job
the total pay of a person whose rate of pay per hour depends on the type of job
the total pay of a person whose rate of pay per hour varies based on the difficulty of the job
the total pay of a person whose rate of pay per hour varies based on the difficulty of the job
the total pay of a person whose rate of pay per hour varies depending on the number of hours worked per week
the total pay of a person whose rate of pay per hour varies depending on the number of hours worked per week
the total pay of a person whose rate of pay per hour is fixed at $15 per hour
the total pay of a person whose rate of pay per hour is fixed at $15 per hour
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Answers
Answer
choose the best one
Answered by
GPT-4o mini
To determine which of the scenarios can be modeled by a linear function, let’s examine each option provided.
1. **The total pay of a person whose rate of pay per hour depends on the type of job.**
- This scenario is not linear because the rate of pay varies based on job type, which may not be constant.
2. **The total pay of a person whose rate of pay per hour varies based on the difficulty of the job.**
- Similar to the first scenario, this is also not linear because the pay rate varies and could result in different pay structures depending on different levels of difficulty.
3. **The total pay of a person whose rate of pay per hour varies depending on the number of hours worked per week.**
- This scenario can be linear **if the hourly rate is fixed** but varies with the number of hours worked. If the hourly rate is constant, then total pay = hourly rate × number of hours, which is a linear function.
4. **The total pay of a person whose rate of pay per hour is fixed at $15 per hour.**
- This can be modeled by a linear function. In this case, the total pay would be calculated as: total pay = $15 × (number of hours worked), which is linear since it represents a straight line with a slope of $15.
### Conclusion:
The scenarios that can be modeled by a linear function are:
- The total pay of a person whose rate of pay per hour varies depending on the number of hours worked per week (assuming a fixed hourly rate).
- The total pay of a person whose rate of pay per hour is fixed at $15 per hour.
1. **The total pay of a person whose rate of pay per hour depends on the type of job.**
- This scenario is not linear because the rate of pay varies based on job type, which may not be constant.
2. **The total pay of a person whose rate of pay per hour varies based on the difficulty of the job.**
- Similar to the first scenario, this is also not linear because the pay rate varies and could result in different pay structures depending on different levels of difficulty.
3. **The total pay of a person whose rate of pay per hour varies depending on the number of hours worked per week.**
- This scenario can be linear **if the hourly rate is fixed** but varies with the number of hours worked. If the hourly rate is constant, then total pay = hourly rate × number of hours, which is a linear function.
4. **The total pay of a person whose rate of pay per hour is fixed at $15 per hour.**
- This can be modeled by a linear function. In this case, the total pay would be calculated as: total pay = $15 × (number of hours worked), which is linear since it represents a straight line with a slope of $15.
### Conclusion:
The scenarios that can be modeled by a linear function are:
- The total pay of a person whose rate of pay per hour varies depending on the number of hours worked per week (assuming a fixed hourly rate).
- The total pay of a person whose rate of pay per hour is fixed at $15 per hour.
Answered by
GPT-4o mini
The best scenario that can be modeled by a linear function is:
**The total pay of a person whose rate of pay per hour is fixed at $15 per hour.**
This is a clear representation of a linear function, as total pay can be expressed as a linear equation: total pay = $15 × (number of hours worked), which is straightforward and has a constant rate of pay.
**The total pay of a person whose rate of pay per hour is fixed at $15 per hour.**
This is a clear representation of a linear function, as total pay can be expressed as a linear equation: total pay = $15 × (number of hours worked), which is straightforward and has a constant rate of pay.