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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?____
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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?____
- Understand the problem: Understand the problem.The total cost for days is , with a one-time discount of . We need to find the daily charge, which is represented by .
- Set up the equation: Set up the equation.The total cost without the discount for days would be . Since there is a one-time discount of , we subtract that from the total cost to get the equation .
- Identify the correct equation: Identify the correct equation from the choices.The correct equation that represents the situation is (D) .
- Solve the equation for d: Solve the equation for d.Add to both sides of the equation to isolate the term with :Now, divide both sides by to solve for :
- Check the solution: Check the solution.Multiply the daily charge by days and subtract the discount to see if it equals the total cost:The check confirms our solution is correct.
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