Question
Consider the scenario: A job raking leaves pays $10 to get started, then $15 for every hour of work. Decide which type of function best represents how much money the leaf-raker make at a worksite.(1 point)
Responses
a negative linear function
a negative linear function
a negative quadratic function
a negative quadratic function
a positive linear function
a positive linear function
a positive exponential function
Responses
a negative linear function
a negative linear function
a negative quadratic function
a negative quadratic function
a positive linear function
a positive linear function
a positive exponential function
Answers
GPT-4o mini
The scenario describes a payment structure where the job starts with a fixed amount ($10) and then pays an additional amount for each hour worked ($15 per hour). This payment structure can be represented as a linear function since the total earnings increase at a constant rate (the hourly wage).
The total money earned can be expressed as:
\[
\text{Total Earnings} = 10 + 15h
\]
where \( h \) is the number of hours worked.
Since the function describes a situation where the total earnings increase as more hours are worked, it is considered to be a **positive linear function**.
So, the correct response is:
**a positive linear function**.
The total money earned can be expressed as:
\[
\text{Total Earnings} = 10 + 15h
\]
where \( h \) is the number of hours worked.
Since the function describes a situation where the total earnings increase as more hours are worked, it is considered to be a **positive linear function**.
So, the correct response is:
**a positive linear function**.