Which proportion can you use to find the width of a full size railroad track? of 1 millimeter for every 87 millimeters in a full size train. The model railroad cars run on a track that is 16.5 mm wide.

f) 1/87 = x/16.5
g) 1/87 = 16.5/x
h) 1/x= 87/16.5
j) 16.5/87 = x/1

Your proportion should show

1 is to 87 as 16.5 is to an unknown number

Which of your choices expresses that proportion?

answer f or g

maybe g is the answer ?

Yes. G is the answer.

To find the width (x) of a full-size railroad track, you can set up a proportion based on the given information that there is a ratio of 1 millimeter for every 87 millimeters in a full-size train.

The correct proportion to use is:
f) 1/87 = x/16.5

To explain how this proportion works, we can break it down:

- The ratio 1/87 represents the relationship between the width of a full-size train (1 millimeter) and the length of the train (87 millimeters).
- The ratio x/16.5 represents the unknown width (x) of the full-size railroad track and the width (16.5 millimeters) of the model railroad track given in the question.

By setting up this proportion, we are comparing the ratio of the width of the train to the length of the train (1/87) with the ratio of the unknown width of the track to the given width of the model track (x/16.5).

To find the value of x, we can cross-multiply and solve for x. Cross-multiplying involves multiplying the numerator of one ratio by the denominator of the other ratio:

1 * 16.5 = 87 * x

Simplifying further:

16.5 = 87x

To solve for x, we divide both sides of the equation by 87:

16.5/87 = x

x ≈ 0.19

So, the width of the full-size railroad track is approximately 0.19 millimeters.