The natural stride up a staircase has a slope of 3/5, meaning that a run of 5 inches has a rise of 3 inches.The model for a standard staircase is y=(3/5)x.Find the rise for a staircase constructed at a mansion which has a run of 12 inches.The natural stride up a staircase has a slope of 3/5, meaning that a run of 5 inches has a rise of 3 inches.The model for a standard staircase is y=(3/5)x.Find the rise for a staircase constructed at a mansion which has a run of 12 inches.Solution. As the model for a standard staircase is y=(3/5)x, when a mansion has a run of 12 inches, i.e., x=12, we can find the rise which corresponds to y. So,y=(3/5)*12= 7.2 (inches)So, the rise for a staircase constructed at a mansion, which has a run of 12 inches, is 7.2 inches.

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