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) 10w+2=26(B) 2(w+10)=26(C) 2w+10=26(D) 10(w+2)=26How many weeks do the driving classes last?____ weeks
Q. 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) 10w+2=26(B) 2(w+10)=26(C) 2w+10=26(D) 10(w+2)=26How many weeks do the driving classes last?____ weeks
Understand the problem: Understand the problem.Terrence will spend 10 hours driving with an instructor and will also attend weekly 2-hour classes. The total hours of instruction is 26 hours. We need to find the number of weeks (w) he attends the 2-hour classes to make up the total hours.
Set up the equation: Set up the equation.The 10 hours with an instructor is a one-time event, and the 2-hour classes happen every week for w weeks. The total hours of instruction is the sum of the 10 hours with the instructor and the 2-hour classes over w weeks. This can be represented as:10+2w=26
Identify the correct equation: Identify the correct equation from the choices.Looking at the choices given, the correct equation that represents the situation is:(C) 2w+10=26This matches the equation we set up in Step 2.
Solve the equation for w: Solve the equation for w.Starting with the equation 2w+10=26, we need to isolate w.First, subtract 10 from both sides of the equation:2w+10−10=26−102w=16Next, divide both sides by 2 to solve for w:22w=216w=8
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