Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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 99 days. The rental agent explained that since the family plans to stay during the off-season, there will be a one-time discount of 2525$\$ applied to their rental cost. The Logans will pay 920920$\$ in all.\newlineWhich equation can you use to find dd, how much the agency charges per day?\newlineChoices:\newline(A) 25d9=92025d - 9 = 920\newline(B) 9(d25)=9209(d - 25) = 920\newline(C) 25(d9)=92025(d - 9) = 920\newline(D) 9d25=9209d - 25 = 920\newlineHow much does the agency charge per day?\newline____ $\$

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 99 days. The rental agent explained that since the family plans to stay during the off-season, there will be a one-time discount of 2525$\$ applied to their rental cost. The Logans will pay 920920$\$ in all.\newlineWhich equation can you use to find dd, how much the agency charges per day?\newlineChoices:\newline(A) 25d9=92025d - 9 = 920\newline(B) 9(d25)=9209(d - 25) = 920\newline(C) 25(d9)=92025(d - 9) = 920\newline(D) 9d25=9209d - 25 = 920\newlineHow much does the agency charge per day?\newline____ $\$
  1. Identify Equation: Identify the correct equation to represent the situation. The total cost after a discount is given, and we need to find the daily rate. The correct equation should account for the daily rate multiplied by the number of days, minus the discount, equaling the total cost.
  2. Solve Equation: Now, solve the equation 9(d25)=9209(d - 25) = 920. First, divide both sides by 99 to isolate the term with dd. \newline9(d25)9=9209 \frac{9(d - 25)}{9} = \frac{920}{9} \newlined25=102.22d - 25 = 102.22
  3. Add 2525: Add 2525 to both sides to solve for dd.\newlined25+25=102.22+25d - 25 + 25 = 102.22 + 25\newlined=127.22d = 127.22

More problems from Solve one-step and two-step equations: word problems