Fran, a factory worker, earns $480 per week for working 40 hours. She will earn $18 for every hour she works over 40 hours. Factory workers can work a maximum of 60 hours in a week. The graph illustrates this situation. Complete the statements below about the data by selecting the correct choice from each drop-down menu.
The initial value, or y-intercept, of the linear function is __________ and represents __________.
The rate of change is __________ and represents __________.
The initial value, or y-intercept, of the linear function is $480 and represents Fran’s weekly earnings for 40 hours of work.
The rate of change is $18 and represents the amount Fran earns for each additional hour worked over 40 hours.
Explanation: The y-intercept indicates the starting point of Fran’s earnings, which is the amount she earns when working a standard 40-hour week. The rate of change reflects her hourly wage for overtime work, which means for each hour beyond 40, her earnings increase by $18. If you have more questions or need further assistance, feel free to ask!