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**Question:**

1. On the map, your trail runs from the base of the hill at a height of 680 ft to a point at the top of the hill at a height of 1880 ft.
    a. Plot the respective points on a graph, letting \( x = 0 \) at the base and \( x = 4 \) at the top.
    b. Find a linear function \( f(x) \) for the height \( f(x) \) of your trail in feet, where the domain of \( x \) is \([0,4]\).
    c. Assuming the model is accurate, how high is the trail at the midpoint between the base and top? What is the slope of this model?

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On the map, your trail runs from the base of the hill at a height of 680 ft to a point at the top of the hill at a height of 1880 ft. a. Plot the respective points on a graph, letting x = 0 at the base and x = 4 at the top. b. Find a linear function f(x) for the height f(x) of your trail in feet, where the domain of x is [0,4]. c. Assuming the model is accurate, how high is the trail at the midpoint between the base and top? What is the slope of this model?

Explore how to graph a trail from the base to the top of a hill, find the linear function for the trail's height, calculate the midpoint height, and determine the slope. Suitable for Grades 9-10 students learning about linear functions and graphing.

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