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Cody and Chelsea are 270 feet apart when they start walking toward one another. They are walking at the same speed, so whenever Cody travels some number of feet, Chelsea travels the same number of feet. Let x represent the number of feet Cody has traveled since he started walking toward Chelsea.

Write an expression in terms of xx that represents the number of feet Cody has walked toward Chelsea since they started walking.

Answer :

Answer:

Required expression  is x.

Step-by-step explanation:

Distance between Cody and Chelsea = 270 feet

They are walking toward one another at the same speed.

Let x represent the number of feet Cody has traveled since he started walking toward Chelsea.

Number of feet Chelsea has traveled since he started walking toward Cody = x feet

Total number of feet = x+x = 2x

Remaining distance  = 270 - 2x

Since we need to find the number of feet Cody has walked toward Chelsea since they started walking, therefore, the required expression is x.

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The expression in terms of [tex]x[/tex] that represents the number of feet Cody has walked toward Chelsea since they started walking is [tex]x_{Co} = x[/tex].

Procedure - Uniform motion

In this question we assume that both Cody and Chelsea have a uniform motion, in opposite sides and to their encounter. If both travel the same number of feet, the kinematic formulas for each walker are described below:

Cody

[tex]x_{Co} = x[/tex] (1)

Chelsea

[tex]x_{Ch} = 270 - x[/tex] (2)

Encounter

[tex]x_{Co} = x_{Ch}[/tex] (3)

Where:

  • [tex]x[/tex] - Number of feet walked by each walker, in feet.
  • [tex]x_{Co}[/tex], [tex]x_{Ch}[/tex] - Position of each walker, in feet.

By (3), (2) and (1) we have the following equation:

[tex]x = 270 - x[/tex]

[tex]2\cdot x = 270[/tex]

[tex]x = 135\,ft[/tex]

The expression in terms of [tex]x[/tex] that represents the number of feet Cody has walked toward Chelsea since they started walking is [tex]x_{Co} = x[/tex]. [tex]\blacksquare[/tex]

To learn more on uniform motion, we kindly invite to check this verified question: https://brainly.com/question/118814

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