Question

Simba Travel Agency arranges trips for climbing Mount Kilimanjaro. For each trip, they charge an initial fee of $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 3000 meters above the base of the mountain, is $400. Let F represent the fee (in dollars) of a trip where they climbed d vertical meters. Complete the equation for the relationship between the fee and vertical distance. F=

Answer 1

F = 100 + 0.1d

Explanation:

• Initial charge is $100
• Price for climbing 3000 m = 400

Then equation to find a fee per vertical distance:

• 100+3000x = 400
• 3000x = 300
• x = 300/3000
• x = $0.1 per/m

So the fee for climbing vertical distance is $0.1 per meter.

• Vertical distance = d m
• Total cost = F

Then, required equation is:

• F = 100 + 0.1d