Simba travel agency arranges trips for climbing mount kilimanjaro. for each trip, they charge an initial fee of \$100$100 in addition to a constant fee for each vertical meter climbed. for instance, the price for climbing to the shira volcanic cone, which is 30003000 meters above the base of the mountain, is \$400$400. let f(d)f(d) denote the fee of a trip ff (measured in dollars) as a function of the vertical distance climbed dd (measured in meters). write the function's formula.

The required function formula is,  

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.