An employee is paid $50 per week plus $20 for every hour worked. They are not allowed to work overtime or over 40 hours per week. Their weekly income can be modeled by the equation y=20x+50 , where x is the number of hours worked and y is the total amount of money made per week. Write the domain of this function using interval notation.

Question

GPT-4o mini · Answer

The function $ y = 20x + 50 $ models the weekly income of an employee based on the number of hours worked $ x $. Since the employee is not allowed to work overtime or over 40 hours per week, the variable $ x $ (the number of hours worked) must be between 0 and 40, inclusive. Therefore, we can express the domain of this function in interval notation as: $$ [0, 40] $$ This means that the employee can work anywhere from 0 hours up to a maximum of 40 hours.