Question

A downhill skier steps off a ski lift at an altitude of 2,200 meters and skis down a slope that drops 5 meters for every 100 meters. The skier maintains a speed of 10 meters per second. Which expression below describes the skier's elevation t seconds after starting to ski down the slope? (Calculator Allowed)​

Answer 1

The skier's elevation at any given time t can be calculated using the equation e(t) = 2200 - (5/100)*(10*t).

Step-by-step explanation:

The skier's elevation at any given time t can be calculated using the equation:

e(t) = 2200 - (5/100)*(10*t)

Where e(t) represents the skier's elevation in meters at time t in seconds.

Let's break down the equation:

• The initial elevation is 2200 meters.
• For every 100 meters skied, the elevation drops 5 meters.
• The skier maintains a speed of 10 meters per second.
• Therefore, for every second skied, the elevation drops 5 meters according to the equation (5/100)*(10*t).