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 9 days. The rental agent explained that since the family plans to stay during the off-season, there will be a one-time discount of 25 $ applied to their rental cost. The Logans will pay 920 $ in all. Which equation can you use to find d, how much the agency charges per day? Choices: (A)25(d - 9) = 920 (B)25d - 9 = 920 (C)9d - 25 = 920 (D)9(d - 25) = 920 How much does the agency charge per day? ____ $

Question

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 9 days. The rental agent explained that since the family plans to stay during the off-season, there will be a one-time discount of 25 $ applied to their rental cost. The Logans will pay 920 $ in all. Which equation can you use to find d, how much the agency charges per day?   Choices: (A)25(d - 9) = 920 (B)25d - 9 = 920 (C)9d - 25 = 920 (D)9(d - 25) = 920  How much does the agency charge per day?   ____ $

Bytelearn · Accepted Answer

Understand the problem: Understand the problem. The total cost for 9 days is $920, after applying a one-time discount of $25. We need to find the daily charge, which is represented by d.Set up the equation: Set up the equation. The total cost without the discount would be 9 days times the daily rate (9d). Since there is a one-time discount of $25, we subtract that from the total cost to get the equation 9d - 25 = 920.Identify the correct equation: Identify the correct equation from the choices. The correct equation that represents the situation is (C) 9d - 25 = 920.Solve the equation for d: Solve the equation for d. Add 25 to both sides of the equation to isolate the term with d: 9d - 25 + 25 = 920 + 25 9d = 945 Now, divide both sides by 9 to solve for d: 9d / 9 = 945 / 9 d = 105Check the solution: Check the solution. Multiply the daily charge by 9 days and subtract the discount to see if it equals the total cost: 9 * 105 - 25 = 945 - 25 = 920 This matches the total cost given in the problem, so the solution is correct.

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