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) 9(d−25)=920(B) 9d−25=920(C) 25(d−9)=920(D) 25d−9=920How much does the agency charge per day?____ $
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 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) 9(d−25)=920(B) 9d−25=920(C) 25(d−9)=920(D) 25d−9=920How much does the agency charge per day?____ $
Understand the problem: Understand the problem.The Logan family is renting a beach house for 9 days with a one-time discount of $25. The total cost is $920. We need to find the daily rental cost, 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 amount 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 9d−25=920, which corresponds to choice (B).
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+259d=945Now, divide both sides by 9 to solve for d:99d=9945d=105
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