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 periodic function
a periodic function
a linear function
a linear function
an exponential function
an exponential function
a quadratic function
Responses
a periodic function
a periodic function
a linear function
a linear function
an exponential function
an exponential function
a quadratic function
Answers
GPT-4o mini
The scenario described is best modeled by **a linear function**.
This is because Juan's earnings increase at a constant rate of $20 for each hour he works. The relationship between the number of hours worked (let's call it \(h\)) and the total money made (let's call it \(M\)) can be represented by the equation:
\[ M = 20h \]
This equation represents a straight line when graphed, indicating a linear relationship.
This is because Juan's earnings increase at a constant rate of $20 for each hour he works. The relationship between the number of hours worked (let's call it \(h\)) and the total money made (let's call it \(M\)) can be represented by the equation:
\[ M = 20h \]
This equation represents a straight line when graphed, indicating a linear relationship.