Answer: The required function formula is, ![f(d)= 100+ \frac{1}{10} d](https://tex.z-dn.net/?f=f%28d%29%3D%20100%2B%20%5Cfrac%7B1%7D%7B10%7D%20d)
Step-by-step explanation:
Here, For each trip, they charge an initial fee of $100 in addition to a constant fee for each vertical meter climbed.
And, d represents vertical distance climbed, and f(d) represents total fee.
Thus function which represents the total fee is,
f(d)= 100+k d, where k is any constant.
According to the question, For instance, the price for climbing to the Shira Volcanic Cone, which is 3000 meters above the base of the mountain, is $400.
Therefore, f(3000) = 400= 100+3000k
300= 3000k ⇒ k=1/10
thus, required function is, f(d)= 100+1/10 d,
Where d is the distance traveled vertically.