Question

Please please PLEASE hurry! 95 points!

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 total fee for climbing to the Shira Volcanic Cone, which is 3000 meters above the base of the mountain, is $400
Let y represent the total fee (in dollars) of a trip where they climbed xxx vertical meters.
Complete the equation for the relationship between the total fee and vertical distance.

Answer 1

Explanation:

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)

Answer 2

• T(x) = 0.1x + 100

Explanation:

• Total fee is $400
• Initial one off fee is $100
• Fee for each meter = x

Considering all the given and the vertical distance of 3000 m we get below equation

• 400 = 100 + 3000x

Solving, we find the fee for each meter:

• 400 -100 = 3000x
• 300 = 3000x
• x = 300/3000
• x = 0.1 dollar per meter

So the equation for total fee including climbing x meters is:

• T(x) = 0.1x + 100