contestada

********Please show work*********

Kenen loves trains, especially those that run on narrow-gauge tracks. (The gauge
of a track measures how far apart the rails are.) He has decided to build a model
train of the Rio Grande, a popular narrow-gauge train.
Use the following information to help him know how big his model should be:

* The real track has a gauge of 3 feet (36 inches).
* His model railroad track has a gauge of 3/4 inches.
*The Rio Grande train he wants to model has driving wheels that measure 44 inches high.

Your Task: With your team, discuss what you know about the model train Kenen will build.

1) What scale factor should he use?
2) What will be the height of the driving wheels of his model?

Respuesta :

Since the real track has a gauge of 3 feet but the model railroad track has a gauge of 3/4 inches, the scale factor must be 1/4, because you must follow the rule

"true measurement * scale factor = model measurement"

In fact, we have

[tex]3\cdot\dfrac{1}{4}=\dfrac{3}{4}[/tex]

This implies that the original driving wheels height, 44 inches, must be scaled down to

[tex]44\cdot\dfrac{1}{4}=11[/tex]

inches.

Otras preguntas