On the scale drawing of a car, the length from bumper to bumper is 6 inches. The car’s actual length, from bumper to bumper, is 16 feet. How many inches would be used to represent an actual length on the car of 10 feet? Explain or show your reasoning. Use i to represent inches and f to represent feet.

Respuesta :

Answer:

  3.75 i

Step-by-step explanation:

You want the number of inches on a scale drawing that would be used to represent a car with an actual length of 10 feet if a 16-foot car is represented by a distance of 6 inches.

Proportion

The length on the drawing is proportional to the actual length, so we have ...

  d/(10 f) = (6 i)/(16 f)

Multiplying by (10 f), we find the distance d on the drawing to be ...

  d = (6 i)(10 f)/(16 f) = (15/4) i = 3.75 i

3.75 inches on the drawing would be used to represent an actual length of 10 feet.

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