15 POINTS A 4-inch length is represented as 1/8 on a scale drawing. What is the scale used on the drawing? 1 foot=3/4 inch 1 foo

Question

15 POINTS A 4-inch length is represented as 1/8 on a scale drawing. What is the scale used on the drawing?
1 foot=3/4 inch
1 foot =3/8 inch
1 foot= 1/2 inch
1 foot = 1/4 inch
Please explain im not good at scales and models.

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Mít Mít 4 years 2021-09-01T16:18:29+00:00 1 Answers 14 views 0

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  1. ThanhThu
    0
    2021-09-01T16:20:27+00:00
    Reply

    9514 1404 393

    Answer:

      (b)  1 foot = 3/8 inch

    Step-by-step explanation:

    The given ratio is …

      actual : scale = 4″ : 1/8″

    You know that 1 foot = 12 in = 3×4 in, so you can multiply the above ratio by 3 to see what it is for 1 foot.

      actual : scale = 3×4″ : 3×1/8″

      = 12″ : 3/8″

      = 1 foot : 3/8 in

    ______

    Alternate approach

    Essentially, we’re saying that the ratios between actual measures and those on a scaled drawing or model form a proportion.

      scale / actual = (1/8″)/(4 in) = ??/(12 in)

    Multiplying by 12 in, we get …

      ?? = (12 in)(1/8″)/(4 in) = 3×1/8″

      ?? = 3/8″

    __

    More detail

    Notice that this only works when the units in the ratio (12 in)/(4 in) cancel to give a pure number 12/4 = 3.

    If we had put 1 foot in the proportion, then we would end up with ?? being expressed in feet, not inches:

      (1/8″)/(4″) = ??/(1 ft)

      ?? = (1 ft)(1/8″)/(4″) = (1 ft)(1/32) = 1/32 ft

    Then, to find the answer to the question, we would have to find out how many inches is 1/32 ft.

      1/32 ft = (1/32)(12 in) = 12/32 in = 3/8 in

    __

    End comment

    For best results, the units in corresponding parts of a proportion should be the same.

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