Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Terrence signed up for the Safe Venture driving school. He will spend 1010 hours driving with an instructor and will also attend weekly 22-hour classes. When Terrence completes the 2626 total hours of instruction, he will take his driver's test.\newlineWhich equation can you use to find ww, the number of weeks the driving classes last?\newlineChoices:\newline(A) 10(w+2)=2610(w + 2) = 26\newline(B) 2(w+10)=262(w + 10) = 26\newline(C) 2w+10=262w + 10 = 26\newline(D) 10w+2=2610w + 2 = 26\newlineHow many weeks do the driving classes last?\newline____ weeks

Full solution

Q. Terrence signed up for the Safe Venture driving school. He will spend 1010 hours driving with an instructor and will also attend weekly 22-hour classes. When Terrence completes the 2626 total hours of instruction, he will take his driver's test.\newlineWhich equation can you use to find ww, the number of weeks the driving classes last?\newlineChoices:\newline(A) 10(w+2)=2610(w + 2) = 26\newline(B) 2(w+10)=262(w + 10) = 26\newline(C) 2w+10=262w + 10 = 26\newline(D) 10w+2=2610w + 2 = 26\newlineHow many weeks do the driving classes last?\newline____ weeks
  1. Identify Total Hours: Identify the total hours of instruction and the components of these hours.\newlineTerrence spends 1010 hours driving with an instructor and attends weekly 22-hour classes. The total instruction time is 2626 hours.
  2. Set Up Equation: Set up the equation to represent the total hours of instruction. The equation should account for the 1010 hours with the instructor and the weekly 22-hour classes over ww weeks. The correct equation is 2w2w (for the weekly classes) plus 1010 (hours with the instructor) equals 2626. This can be written as 2w+10=262w + 10 = 26.
  3. Solve for w: Solve the equation for w. Subtract 1010 from both sides of the equation: 2w+1010=26102w + 10 - 10 = 26 - 10, which simplifies to 2w=162w = 16. Divide both sides by 22: 2w2=162\frac{2w}{2} = \frac{16}{2}, which simplifies to w=8w = 8.