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.
Question
Answer:
The formula is F(d) = 100+0.10d.We must find the cost per meter to write the function. We know that the cost to climb a 3000 meter mountain was 400:
400=100+3000(x)
Subtract 100 from each side:
400-100 = 100+3000x-100
300 = 3000x
Divide both sides by 3000:
300/3000 = 3000x/3000
0.10 = x
This is the cost per meter.Β Using this, we have the formula
F(d) = 100+0.10(d)
solved
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