Yak Travel Agency arranges trips for climbing Mount Everest. For each trip, they charge an initial fee in addition to / $0.15 for each vertical meter climbed. For instance, the price for climbing all the way to the summit, which is 3500 meters above the base of the mountain, is / $645. 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

Chung

Mathematics

24 August, 18:51

Yak Travel Agency arranges trips for climbing Mount Everest. For each trip, they charge an initial fee in addition to / $0.15 for each vertical meter climbed. For instance, the price for climbing all the way to the summit, which is 3500 meters above the base of the mountain, is / $645. 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.

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Danny Morrison · Answer 1

Function will be F (d) = 120 + 0.15d

Step-by-step explanation:

Given: Height of the mountain = 3500 meters

Additional charge $0.15 for each vertical meter climbed.

Price for climbing all the way above the base is $645.

To find: Function of the vertical distance climbed in terms of F (measured in $), F (d) fee of a trip and vertical distance d (in meters).

Solution: Let the total price = F, Initial price = I, and d = vertical distance climbed.

Then formula will be F = I +.15*d

By putting values of F and d

645 = I + 0.15*3500

I = 645 - 525 = $120

Therefore the function will be

F (d) = 120 + 0.15d