Question

angel started hiking at an elevation of 2 meters above sea level. he hiked up at a rate of 3 meters per minute. the graph below represents the relationship between the number of minutes and the elevation.
write an equation to represent the relationship between the number of minutes and the elevation. use e to represent the elevation and x to represent the number of minutes.
slope = 3
vertical intercept = 2
elevation = starting elevation + increase in elevation per minute · number of minutes
equation:

Explanation:

Step1: Identify linear form

The relationship follows the linear equation structure $y = mx + b$, where $m$ is the slope (rate of change) and $b$ is the vertical intercept (starting value).

Step2: Assign variables and values

Here, $e$ (elevation) replaces $y$, $x$ is minutes, $m=3$ (rate of elevation gain), and $b=2$ (starting elevation). Substitute these into the linear form:
$e = 3x + 2$

Answer:

$e = 3x + 2$