Question

Home depot rents power washers for a $20 fee plus $10 per hour and charges in fractions of an hour. assuming you want to get this done in one day and assuming you are brave enough to go up on your roof, wet it with slippery water, and then walk all over it... what is a reasonable domain and range for this situation? use x number of hours for domain and y dollars for range.

Answer 1

The domain for renting power washers could be 1 to 8 hours for safety and practicality, with the corresponding range being the total costs from $30 to $100, as the cost increases by $10 for every hour rented.

Step-by-step explanation:

The reasonable domain and range for the scenario where Home Depot rents power washers for a $20 fee plus $10 per hour can be considered based on a typical working day. Assuming one would not use a power washer for less than an hour and typically not more than 8 hours in a single day for safety and practical reasons, the domain (x number of hours) would be {1, 2, 3, 4, 5, 6, 7, 8}. Regarding the range (y dollars), for each additional hour, the cost increases by $10. Hence, if x represents the number of hours, the cost can be expressed as y = 20 + 10x. The range would then be the set of total costs corresponding to the domain, i.e., {30, 40, 50, 60, 70, 80, 90, 100} for 1 to 8 hours of rental, respectively.