Math  /  Algebra

QuestionAttempt 1: 10 attempts remaining.
The length mm, in inches, of a model train is directly proportional to the length rr, in inches, of the corresponding real train. (a) Write an equation that expresses mm as a function of rr, using kk for the constant of proportionality. \square help (equations) (b) An N\mathbf{N} scale model train is 1/1601 / 160 th the size of a real train. What is the constant of proportionality? \square help (numbers) What is the length, in feet, of a real locomotive if its N\mathbf{N} scale model is 11 inches long? \square feet. help (numbers) (c) An HO scale model train is 1/871 / 87 th the size of a real train. What is the constant of proportionality? \square help (numbers) What is the length, in inches, of an HO scale model if its real locomotive is is 75 feet long? \square inches. help (numbers)

Studdy Solution
(a) m=krm = k \cdot r (b) k=1160k = \frac{1}{160}, Real locomotive length: approximately 146.67\) feet (c) k=187k = \frac{1}{87}, HO scale model length: approximately 10.34\) inches

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