MadiAbbott5218 MadiAbbott5218

Today at 10:18 AM
Mathematics

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A model train is on a track 100 cm from its starting point. turning a switch displaces the train either forward or backward 25 cm along the track depending on which way the switch is turned. which equation models the position of the train along the track after you turn the switch?

Answer :

Qwclear Qwclear

Today at 10:23 AM

The equation which models the position of the train along the track can be given as |x − 100| = 25.

One-variable linear equation is defined as the equation which can be written in the form of ax+b = 0, where a and b are two integers, and x is a variable. One-variable linear equation has only one solution. For example, the linear equation 4x+2=14 only has one variable and only one solution.

The location of the train is given by the value of x. Therefore, if x was equal to the value 85, it would be at the position 85 on the number line.

The distance between x and distance of track that is 100 is given as |x-100|. The distance can never be negative, so we take the absolute value. Because the switch is switched after the train has traveled 25 cm in one direction, we need this distance to be 25 cm.

Therefore, the equation which models the position of the train along the track is represented by |x − 100| = 25.

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