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
