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Terrence signed up for the Safe Venture driving school. He will spend hours driving with an instructor and will also attend weekly -hour classes. When Terrence completes the total hours of instruction, he will take his driver's test.Which equation can you use to find , the number of weeks the driving classes last?Choices:(A) (B) (C) (D) How many weeks do the driving classes last?____ weeks
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Q. Terrence signed up for the Safe Venture driving school. He will spend hours driving with an instructor and will also attend weekly -hour classes. When Terrence completes the total hours of instruction, he will take his driver's test.Which equation can you use to find , the number of weeks the driving classes last?Choices:(A) (B) (C) (D) How many weeks do the driving classes last?____ weeks
- Understand the problem: Understand the problem.Terrence will spend hours driving with an instructor and attend weekly -hour classes. The total hours of instruction is hours. We need to find the number of weeks he attends the -hour classes to make up the total hours of instruction.
- Set up the equation: Set up the equation.The hours with an instructor is a one-time event, and the -hour classes happen every week for weeks. The total hours of instruction is the sum of the hours with the instructor and the hours per week for weeks. The equation should reflect this.
- Identify the correct equation: Identify the correct equation.The correct equation should have the hours added to the product of the number of weeks () and the weekly class hours (). This gives us the equation .
- Choose the correct equation: Choose the correct equation from the given choices.Looking at the choices, the correct equation that represents the situation is (D) .
- Solve the equation for w: Solve the equation for w.Starting with the equation , we need to isolate . Subtract from both sides of the equation to get , which simplifies to . Then, divide both sides by to find . This gives us , which simplifies to .
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