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Terrence signed up for the Safe Venture driving school. He will spend 1010 hours driving with an instructor and will also attend weekly 22-hour classes. When Terrence completes the 2626 total hours of instruction, he will take his driver's test.\newlineWhich equation can you use to find ww, the number of weeks the driving classes last?\newlineChoices:\newline(A) 10w+2=2610w + 2 = 26\newline(B) 2(w+10)=262(w + 10) = 26\newline(C) 2w+10=262w + 10 = 26\newline(D) 10(w+2)=2610(w + 2) = 26\newlineHow many weeks do the driving classes last?\newline____ weeks

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Q. Terrence signed up for the Safe Venture driving school. He will spend 1010 hours driving with an instructor and will also attend weekly 22-hour classes. When Terrence completes the 2626 total hours of instruction, he will take his driver's test.\newlineWhich equation can you use to find ww, the number of weeks the driving classes last?\newlineChoices:\newline(A) 10w+2=2610w + 2 = 26\newline(B) 2(w+10)=262(w + 10) = 26\newline(C) 2w+10=262w + 10 = 26\newline(D) 10(w+2)=2610(w + 2) = 26\newlineHow many weeks do the driving classes last?\newline____ weeks
  1. Understand the problem: Understand the problem.\newlineTerrence will spend 1010 hours driving with an instructor and will also attend weekly 22-hour classes. The total hours of instruction is 2626 hours. We need to find the number of weeks (ww) he attends the 22-hour classes to make up the total hours.
  2. Set up the equation: Set up the equation.\newlineThe 1010 hours with an instructor is a one-time event, and the 22-hour classes happen every week for ww weeks. The total hours of instruction is the sum of the 1010 hours with the instructor and the 22-hour classes over ww weeks. This can be represented as:\newline10+2w=2610 + 2w = 26
  3. Identify the correct equation: Identify the correct equation from the choices.\newlineLooking at the choices given, the correct equation that represents the situation is:\newline(C) 2w+10=262w + 10 = 26\newlineThis matches the equation we set up in Step 22.
  4. Solve the equation for w: Solve the equation for w.\newlineStarting with the equation 2w+10=262w + 10 = 26, we need to isolate ww.\newlineFirst, subtract 1010 from both sides of the equation:\newline2w+1010=26102w + 10 - 10 = 26 - 10\newline2w=162w = 16\newlineNext, divide both sides by 22 to solve for ww:\newline2w2=162\frac{2w}{2} = \frac{16}{2}\newlinew=8w = 8