Final answer:
To write an equation for the total cost of a hotel stay, you need to account for both the fixed cleaning and service fee and the variable cost, which is the price per night. The general equation would be formatted as C = (price per night) × N + (cleaning and service fee), where C is the total cost and N is the number of nights. The total cost equation is C = 32N + 31.50,
Step-by-step explanation:
To write an equation that gives the cost (C) in dollars for a hotel stay of N nights, we need to consider both fixed costs and variable costs. Fixed costs, such as the cleaning and service fee, do not change regardless of the number of nights stayed—these are a one-time charge. Variable costs change with the number of nights, usually at a consistent rate per night.
A similar example would be Aaron's Word Processing Service, where the total cost equation is C = 32N + 31.50, with N representing the number of hours and 32 being the rate per hour, while 31.50 is the fixed one-time charge.
In general, the equation for the total cost of a stay at a hotel with a fixed cleaning and service fee and a price per night would look like: C = (price per night) × N + (cleaning and service fee), where C is the total cost and N is the number of nights.