Question

emilio started hiking at an elevation of -6 feet below sea level. he hiked up at a rate of 3 feet per minute. this graph represents the relationship between the number of minutes and his elevation. use the slope and vertical intercept to write an equation. youre trying to represent this graph using an equation. to find the elevation, you can start with the initial value, or the starting elevation. show that in the equation now. slope = 3 vertical intercept = -6 elevation = \boxed{} +? change in elevation from hiking starting elevation

Explanation:

Step1: Identify starting elevation

The initial (starting) elevation is given as the vertical intercept, which is -6 feet.

Step2: Identify rate of elevation change

The slope (rate of hiking up) is 3 feet per minute, so the change in elevation over \(x\) minutes is \(3x\).

Step3: Combine into linear equation

A linear equation is in the form \(y = mx + b\), where \(m\) is slope and \(b\) is vertical intercept. Here, elevation is \(y\), so substitute the values.

Answer:

elevation = \(-6\) + \(3x\)
(The starting elevation is -6, and the change in elevation from hiking is \(3x\))