Juan earns $11 per hour and works at most 30 hours per week. Identify the independent and dependent quantity in the situation, and find reasonable domain and range values.
Independent variable of the situation is the number of hours worked per week. Let’s name that variable x.
Dependent variable is Juan’s salary (because it depends on the number of hours). We can model the salary with function:
Reasonable domain for the function is [0,30] because Juan can work 0 hours or 30 hours at most in a week.
This gives us reasonable range:
When x=0, then S(0)=11⋅0=$0.
When x=30, then S(30)=11⋅30=$330.
So, reasonable range for the function is [0,330].