Question

Tara is installing a pipe to drain water for landscapers. The pipe must have a drop (rise) of 2.5 centimeters for a run of 3.5 centimeters (350 cm). What is the slope of the pipe? How much drop will Tara require for a run of 12 meters or 1200 cm?

A) The slope is 2.5/3.5.
B) The slope is 3.5/2.5.
C) The slope is 12/1200.
D) The slope is 1200/12.

Answer 1

The slope of Tara's pipe is 2.5/3.5, which simplifies to 5/7. For a run of 1200 cm (12 meters), the required drop would be approximately 857.14 cm or 8.57 meters.

Step-by-step explanation:

To find the slope of the pipe that Tara is installing, we need to divide the rise by the run. In this case, the rise is the drop which is 2.5 cm, and the run is the length of the pipe which is 3.5 cm (350 cm in the question seems to be a typo). Using these values, the slope (m) is calculated using the formula m = rise/run.

The correct answer is A) The slope is 2.5/3.5, which can also be simplified to 5/7 or approximately 0.7143. To find the drop for a run of 12 meters (1200 cm), we multiply the slope by the new run: 0.7143 * 1200 cm = 857.14 cm. Therefore, for a run of 12 meters (1200 cm), Tara will require a drop of approximately 857.14 cm or 8.57 meters.