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.
Accepted Solution
A:
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. Using this, we have the formula F(d) = 100+0.10(d)