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The Logan family is renting a beach house from Aqua Coast Beach Rentals. Mr. Logan called the rental agency ahead of time to get the total cost for days. The rental agent explained that since the family plans to stay during the off-season, there will be a one-time discount of applied to their rental cost. The Logans will pay in all.Which equation can you use to find , how much the agency charges per day?Choices:How much does the agency charge per day?____
Full solution
Q. The Logan family is renting a beach house from Aqua Coast Beach Rentals. Mr. Logan called the rental agency ahead of time to get the total cost for days. The rental agent explained that since the family plans to stay during the off-season, there will be a one-time discount of applied to their rental cost. The Logans will pay in all.Which equation can you use to find , how much the agency charges per day?Choices:How much does the agency charge per day?____
- Set up equation: Let's denote the daily charge by the agency as dollars per day. Since the Logan family is getting a one-time discount of dollars and the total cost for days is dollars, we can set up an equation that represents the total cost after the discount is applied. The total cost without the discount for days would be dollars. After applying the discount, the total cost is dollars. This amount should equal the total cost that the Logans will pay, which is dollars. Therefore, the equation that represents this situation is:This corresponds to choice (D).
- Solve for d: Now, let's solve the equation for d to find out how much the agency charges per day.First, add to both sides of the equation to isolate the term with d on one side:Next, divide both sides by to solve for d:So, the agency charges dollars per day.
