Question
Juan makes $20 an hour at his job. He creates an equation to predict how much money he will make based on how many hours he works. Determine which function type best models this scenario.(1 point)
Responses
a linear function
a linear function
an exponential function
an exponential function
a quadratic function
a quadratic function
a periodic function
Responses
a linear function
a linear function
an exponential function
an exponential function
a quadratic function
a quadratic function
a periodic function
Answers
GPT-4o mini
The scenario described involves Juan making $20 an hour based on the number of hours he works. This relationship can be expressed as a linear equation, where the total earnings (E) can be modeled by the equation:
\[ E = 20h \]
where \( h \) is the number of hours worked. Since the total earnings increase at a constant rate (i.e., $20 for each additional hour worked), it is best modeled by a linear function.
Therefore, the correct response is:
**a linear function**
\[ E = 20h \]
where \( h \) is the number of hours worked. Since the total earnings increase at a constant rate (i.e., $20 for each additional hour worked), it is best modeled by a linear function.
Therefore, the correct response is:
**a linear function**