Question

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.

Answer 1

y=100+1/10x

Explanation:

if your doing this for khan academy this is the answer

Answer 2

Answer: The required function formula is,
`f(d)= 100+ (1)/(10) d`

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.