Final answer:
Using the equation C = 15.9h + F, where C is the total cost of debris removal and F is the one-time fee, we calculate F by inserting the given values for 15 hours of service and a total cost of $195. However, the calculation leads to a negative one-time fee, which indicates an error in the provided information.
Step-by-step explanation:
To find the one-time fee for the trash dumpster, we need to set up a linear equation based on the given information. The construction company charges $15.9 per hour for debris removal and a one-time fee which we will denote as F. For 15 hours of service, the total fee is $195. We can represent this relationship with the equation C = 15.9h + F, where C is the total cost, h is the number of hours, and F is the one-time fee.
Plugging in the known values, we get 195 = 15.9(15) + F. This simplifies to 195 = 238.5 + F. To find F, subtract 238.5 from both sides, yielding F = 195 - 238.5. Calculating this gives us F = -$43.5. However, since fees cannot be negative, this suggests that there might be an error in the given information or calculations made. Fees are expected to be positive, so please double-check the figures provided.