Question

independent practice
find the slope of a ski run that descends 15 feet for every horizontal change of 24 feet. (example 1)
(there is an image on the right side of the text showing a ski run with a vertical drop of 15 ft and a horizontal change of 24 ft)

Explanation:

Step1: Recall slope formula

Slope \( m = \frac{\text{vertical change}}{\text{horizontal change}} \). Since it's a descent, vertical change is negative.
Vertical change = -15 feet, horizontal change = 24 feet.

Step2: Calculate slope

Substitute into formula: \( m = \frac{-15}{24} \). Simplify by dividing numerator and denominator by 3: \( m = \frac{-5}{8} \).

Answer:

\( -\frac{5}{8} \)