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.

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

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have