Please help me..
A mountain climber begins a hike at an elevation of 6000 feet. She then climbs such that her elevation increases by 1000 feet per hour.
Let x = the amount of time that the climber has been hiking, in hours.
Let E(x) = the elevation of the climber, in feet.
What would be function formula for E(x)...?
6000 + 1000 x
To find the function formula for the elevation, we need to consider the starting elevation and the rate at which the elevation increases.
Given that the mountain climber begins at an elevation of 6000 feet and her elevation increases by 1000 feet per hour, we can set up the function as follows:
E(x) = 6000 + 1000x
Here, x represents the amount of time the climber has been hiking in hours. By multiplying the rate of increase (1000 feet per hour) by the amount of time (x), we can determine the additional elevation the climber has gained. Adding this to the starting elevation gives us the total elevation at any given time.
So, the function formula for the elevation, E(x), is E(x) = 6000 + 1000x.