Question

Lin has a scale model train. The model is created at a scale of 1 to 48. The height of the model train is 102 millimeters. What is the actual height of the train In meters? Explain your reasoning

Answer 1

Answer:

4.896 meters

Step-by-step explanation:

"scale model" means that the original is shrunk or grown by some factor.  So say we have a triangle with side lengths 5, 4 and 3.  We could "scale" it by multiplying or dividing all three numbers by another number.  So we could make it twice as big so the sides will be 10, 8 and 6 or cut it in half s the sides are 5/2, 2 and 3/2.  We could also make it 48 times larger by multiplying everything by 48, so the sides would be 240, 192, 144.

That's what happened here.  The original was shrunk by a scale factor of 48.  or you could think of it as making the scale model grow by 48 times.  So the height times 48 is the height of the real thing.  You are also going to want to convert from millimeters to meters.

so 102*48= 4896 millimeters.  Now we convert that into meters and we get 4.896 meters.  let me know if you need any further explanation.