In a stairway measuring 9'2" with 14 risers, what is the unit rise?

To determine the unit rise of a stairway, you need to divide the total height of the stairway by the number of risers. In this case, the total height of the stairway is 9 feet 2 inches.

First, convert the total height into inches. Since there are 12 inches in a foot, 9 feet is equivalent to 108 inches (9 feet x 12 inches/foot). Adding the additional 2 inches gives a total height of 110 inches.

Next, with 14 risers, the unit rise is calculated as follows:

Unit rise = Total height / Number of risers

Unit rise = 110 inches / 14 risers = 7.857 inches.

When converted to a fraction, this approximates to 7 7/8 inches.

This makes the calculation straightforward, leading to the conclusion that the unit rise for the stairway measuring 9'2" with 14 risers is 7 7/8 inches, confirming that this is indeed the correct choice.

Other options may have incorrectly assumed different total heights or riser counts, leading to different calculations for the unit rise.