Understanding the Tow Rope Problem

The video tutorial explains how to determine the original length of a tow rope that is cut and divided into parts. The problem is solved using two methods: a visual approach and an algebraic approach. In the visual method, the rope is represented as a segment, and the problem is solved by dividing the segment into parts. In the algebraic method, an equation is set up to find the original length of the rope. Both methods arrive at the same solution, demonstrating multiple ways to approach the problem.

What is the first step in solving the tow rope problem?

• Measuring the rope

• Cutting the rope into thirds

• Discarding the entire rope

• Cutting the rope in half

In the visual modeling approach, what happens to the first half of the rope?

• It is doubled in length

• It is used for measurement

• It is discarded

• It is cut into thirds

How is the remaining half of the rope divided in the visual model?

• Into thirds

• Into halves

• Into fifths

• Into quarters

What is the length of the longer piece in the visual model?

• 20 meters

• 15 meters

• 10 meters

• 5 meters

What is the original length of the tow rope as determined by the visual model?

• 35 meters

• 30 meters

• 25 meters

• 20 meters

In the algebraic approach, what variable is used to represent the original length of the rope?

• y

• a

• z

• x

What fraction of the original length is the longer piece in the algebraic method?

• 2/3

• 1/3

• 3/4

• 1/2

What equation is set up to solve for the original length in the algebraic method?

• 1/2 * x = 10

• 1/3 * x = 10

• 3/4 * x = 10

• 2/3 * x = 10

What is the final step in solving the algebraic equation for the original length?

• Subtracting 10 from both sides

• Multiplying by 3

• Dividing by 3

• Adding 10 to both sides

What is the original length of the tow rope as determined by the algebraic method?

• 20 meters

• 25 meters

• 30 meters

• 35 meters