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disa [49]
2 years ago
4

Simba Travel Agency arranges trips for climbing Mount Kilimanjaro. For each trip, they charge an initial fee of \$100$100dollar

sign, 100 in addition to a constant fee for each vertical meter climbed. For instance, the total fee for climbing to the Shira Volcanic Cone, which is 300030003000 meters above the base of the mountain, is \$400$400dollar sign, 400.
Mathematics
1 answer:
kenny6666 [7]2 years ago
8 0

Complete question :

Simba Travel Agency arranges trips for climbing Mount Kilimanjaro. For each trip, they charge an initial fee of $100 dollars, in addition to a constant fee for each vertical meter climbed. For instance, the price for climbing to the Shira Volcanic Cone, which is 3000 meters above the base of the mountain, is $400 dollars. Let F(d) denote the fee of a trip F (measured in dollars) as a function of the vertical distance climbed d (measured in meters). Write the function's formula.

Answer:

F(d) = $100 + $0.1d

Step-by-step explanation:

Given the following :

Total Cost of mountain climbing :

Initial fee + constant fee per vertical meter climbed

Initial fee = $100

Total cost of climbing the Shira volcanic cone = $400

Height of Shira volcanic cone = 3000 m

The fee of a trip ; F(d) ; where d = distance

Let constant fee per vertical meter = p

F(d) = $100 + 3000 * p

$400 = $100 + 3000p

$400 - $100 = 3000p

$300 = 3000p

p = 300/3000

p = $0.10

Hence, the fee for a trip:

F(d) = $100 + $0.1d

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