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 3500 35003500 meters above the base of the mountain, is $ 645 , 645. Let y represent the fee (in dollars) of a trip where they climbed x xx vertical meters

Answer 1

We need to determine the linear equation for the cost of a climbing trip based on the number of vertical meters climbed, including an initial fee and a per meter rate. We use the given example of the fee for climbing Mount Everest to calculate the initial fee required for the equation.

Step-by-step explanation:

The question asks us to determine a linear equation that calculates the cost y of a climbing trip for a given number of vertical meters x climbed using the pricing structure of Yak Travel Agency. Given an initial fee and a rate of $0.15 per vertical meter climbed, the total cost is a function of the distance climbed. The equation is of the form y = mx + b, where m is the rate per meter, and b is the initial fee. The total cost for climbing Mount Everest, with its summit at 8,848 meters (29,029 feet), can be calculated with this equation. To find the initial fee, we use the provided example where climbing to the summit costs $645. Thus, if 8,848 meters costs $645, we use the rate to calculate b: y = 0.15x + b; 645 = 0.15(8848) + b. Solving for b gives us the initial fee.