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 in words to represent this graph. slope = 3 vertical intercept = 2 (graph: x - axis: number of minutes, x; y - axis: elevation (meters), e; with options: starting elevation, elevation, increase in elevation per minute, number of minutes)

Explanation:

Step1: Identify total elevation role

The total elevation is the dependent variable, so it goes on the left side of the equation.

Step2: Identify starting elevation

The initial elevation (vertical intercept) is a constant term added to the rate-based increase.

Step3: Identify rate and independent variable

The elevation increases by 3 meters per minute, so we multiply the rate by the number of minutes.

Answer:

$\text{elevation} = \text{starting elevation} + \text{increase in elevation per minute} \cdot \text{number of minutes}$