Question

Jordan will hike the trail shown at a rate of 3 mi/h. Write a linear equation to represent the distance Jordan still has to walk after x hours. What does the y-intercept of the equation represent?

a. Distance equation: y = 3x; Y-intercept represents the distance Jordan has already walked.
b. Distance equation: y = 3(3 - x); Y-intercept represents the starting point of the hike.
c. Distance equation: y = 3(3 - x); Y-intercept represents the distance Jordan has already walked.
d. Distance equation: y = 3x; Y-intercept represents the starting point of the hike.

Answer 1

The distance equation is y = 3x, and the y-intercept represents the starting point of the hike.

Step-by-step explanation:

The correct answer is option d: Distance equation: y = 3x; Y-intercept represents the starting point of the hike.

To write a linear equation to represent the distance Jordan still has to walk after x hours, we can use the equation y = 3x. In this equation, y represents the distance Jordan still has to walk, and x represents the number of hours. The coefficient 3 represents Jordan's rate of 3 miles per hour.

The y-intercept of the equation, which is the value of y when x is 0, represents the starting point of the hike. In this case, the y-intercept represents the distance Jordan has already walked when they start the hike.