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A group of climbers begin climbing at an elevation of 6500 feet and ascend at a steady rate of 600 vertical feet per hour. what is their elevation after 3.5 hours?

Respuesta :

CalculationStation
slope intercept problem:
y = mx + b (m is the slope and b is the y intercept)

slope is rise/run - the climbers 600ft (rise) every 1 hour (run) … m = 600/1

on the graph the x axis would be time and the y axis would be the climbers elevation.

at time(t) = 0 which is the same as saying x = 0 the climbers are already 6500 up so that is your y-intercept.

thus the equation is:

y = 600/1 x + 6500 or y = 600x + 6500

when time(t) or x = 3.5

y = 600(3.5) + 6500

y = 2100 + 6500

y = 8600

The climbers elevation after 3.5 hrs is 8600ft.

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