Which of the following scenarios can be modeled by a linear function?

Question

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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Answer 1

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.

Answer 2

choose the best one

Answer 3

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.