Question

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 350035003500 meters above the base of the mountain, is $645

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.

Answer 1

y=0.15x+120

Explanation:

0.15x3500=525

645-525=120

b=120(starting fee)

m=0.15(slope; money per meters climbed)

x=3500(meters climbed)

y=645

thus y=0.15x+120

because 645=(0.15)(3500)+120

Answer 2

The equation for the relationship between the fee and vertical distance is:

F = 120 + 0.15d

Solution:

Given that,

For each trip, they charge an initial fee in addition to $0.15 for each vertical meter climbed

Let 'd' be the total number of vertical meters climbed

Let F represent the fee (in dollars) of a trip

Therefore,

F = Initial fee + 0.15d ------- eqn 1

For instance, the price for climbing all the way to the summit, which is 3500 meters above the base of the mountain, is $645

Therefore,

645 = Initial fee + 0.15(3500)

645 = Initial fee + 525

Initial fee = 645 - 525

Initial fee = 120

Substitute Initial fee = 120 in eqn 1

F = 120 + 0.15d

Thus the equation for the relationship between the fee and vertical distance is found