Terrence signed up for the Safe Venture driving school. He will spend 10 hours driving with an instructor and will also attend weekly 2-hour classes. When Terrence completes the 26 total hours of instruction, he will take his driver's test. Which equation can you use to find w, the number of weeks the driving classes last? Choices: (A)10(w + 2) = 26 (B)2(w + 10) = 26 (C)2w + 10 = 26 (D)10w + 2 = 26 How many weeks do the driving classes last? ____ weeks

Question

Terrence signed up for the Safe Venture driving school. He will spend 10 hours driving with an instructor and will also attend weekly 2-hour classes. When Terrence completes the 26 total hours of instruction, he will take his driver's test. Which equation can you use to find w, the number of weeks the driving classes last?   Choices: (A)10(w + 2) = 26 (B)2(w + 10) = 26 (C)2w + 10 = 26 (D)10w + 2 = 26  How many weeks do the driving classes last?   ____ weeks

Bytelearn · Accepted Answer

Identify Total Hours:  Identify the total hours of instruction and the components of these hours. Terrence spends 10 hours driving with an instructor and attends weekly 2-hour classes. The total instruction time is 26 hours. Set Up Equation:  Set up the equation to represent the total hours of instruction. The equation should account for the 10 hours with the instructor and the weekly 2-hour classes over w weeks. The correct equation is 2w (for the weekly classes) plus 10 (hours with the instructor) equals 26. This can be written as 2w + 10 = 26. Solve for w:  Solve the equation for w. Subtract 10 from both sides of the equation: 2w + 10 - 10 = 26 - 10, which simplifies to 2w = 16. Divide both sides by 2: 2w/2 = 16/2, which simplifies to w = 8.

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