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?2(w+10)=2610w+2=262w+10=2610(w+2)=26How many weeks do the driving classes last?□ weeksSubmitWork it out
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?2(w+10)=2610w+2=262w+10=2610(w+2)=26How many weeks do the driving classes last?□ weeksSubmitWork it out
Identify Hours and Structure: Identify the total hours and the structure of the classes.Terrence spends 10 hours driving with an instructor and attends 2-hour weekly classes. The total instruction time is 26 hours.
Set Up Equation: Set up the equation to represent the situation.Let w be the number of weeks Terrence attends the driving classes. Each week he attends a 2-hour class, so the total hours spent in classes is 2w. Adding the 10 hours with the instructor gives 2w+10. This total should equal 26 hours.
Write Equation: Write the equation from the problem description.The correct equation that represents the situation is 2w+10=26.
Solve for w: Solve the equation for w.Subtract 10 from both sides: 2w+10−10=26−10,which simplifies to 2w=16.Divide both sides by 2: 22w=216,which gives w=8.
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