To model the scenario of Juan’s hourly wage, where he makes $20 an hour, we need to recognize that this situation can be expressed as a linear function.
The function can be set up as:
\[ W(h) = 20h \]
Where:
- \( W(h) \) represents Juan's total wage,
- \( h \) represents the number of hours worked,
- \( 20 \) is the constant rate (Juan's hourly wage).
In this function, the output (total wage) increases linearly as the input (number of hours worked) increases.
Example:
- If Juan works 0 hours, \( W(0) = 20 \times 0 = 0 \)
- If Juan works 5 hours, \( W(5) = 20 \times 5 = 100 \)
- If Juan works 10 hours, \( W(10) = 20 \times 10 = 200 \)
Thus, the relationship between the number of hours worked and Juan's wage is linear, meaning it can best be modeled by a linear function.