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 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
\[x\] vertical meters.

Answer 1

The relationship is linear: y = 100 + m x. Using y(3000) = 400 gives 400 = 100 + 3000m, so m = 300/3000 = 0.1.

Thus y = 100 + 0.1x (dollars).