A road up a mountain: You are driving on a straight road that is inclined upward toward the peak of a mountain (see Figure 3.38 on the following page). You pass a sign that reads “Elevation 4130...

A road up a mountain: You are driving on a straight road that is inclined upward toward the peak of a mountain (see Figure 3.38 on the following page). You pass a sign that reads “Elevation 4130 Feet.” Three horizontal miles farther you pass a sign that reads “Elevation 4960 Feet.”

a. Think of the direction in which you are driving as the positive direction. What is the slope of the road? (Note: Units are important here.)

b. What is the elevation of the road 5 horizontal miles from the first sign?

c. You know that the peak of the mountain is 10,300 feet above sea level. How far in horizontal distance is the first sign from the peak of the mountain?