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 drivers test. which equation can you use to find w, the number of weeks the driving classes last? $10(w + 2)=26$ $10w + 2 = 26$ $2w + 10 = 26$ $2(w + 10)=26$ how many weeks do the driving classes last? $square$ weeks submit

Explanation:

Part 1: Finding the Correct Equation

Step1: Analyze the components of total hours

Terrence has 10 hours of driving with an instructor and 2 - hour weekly classes for \( w \) weeks. So the total hours from classes is \( 2w \), and adding the 10 hours of driving gives the total 26 hours. So the equation should be \( 2w + 10=26 \).

Step1: Start with the equation \( 2w+10 = 26 \)

Subtract 10 from both sides: \( 2w+10 - 10=26 - 10 \)
Simplify: \( 2w=16 \)

Step2: Divide both sides by 2

\( \frac{2w}{2}=\frac{16}{2} \)
Simplify: \( w = 8 \)

Answer:

The correct equation is \( 2w + 10 = 26 \) (the third option among the given equations).

Part 2: Solving for \( w \) (number of weeks)