PLEASE HELP PART 1

The table shows the estimated distances and elevation changes between a base camp and various locations along a popular mountain trail. The distance traveled along the trail is represented by x, the elevation is represented by y, and the time from the base camp to each location is represented by t.

1. Use the data points about the distance and elevations of the camps to graph the data points where the x-coordinate is the total distance traveled from the base camp and the y-coordinate is the elevation. Use the grid below or include a screenshot of the data plotted from a calculator.

2. Describe the curve in the graph by completing the steps.

a) Find a reasonable interval for the values of t and explain its significance.

b) Write a linear function, x(t), for the total distance in miles hiked in terms of total time hiking in hours using the data from the table.

c) Write a quadratic function, y(t), for elevation in terms of the total time hiking in hours using the data in the table. Find a system of three equations and three unknowns to write the equation.

PART 2

1. Using the equations from Part 1, eliminate the parameter, and write the rectangular form of the equation.

2. Use the rectangular equation to show the elevation that a group can expect to reach after hiking 8 miles. Then determine the time it will take the group to get to that point on the mountain.

3. Use the rectangular equation to show approximately how far a group can expect to hike before reaching an elevation of 12,000 feet.

(Table is for part 1)