The graph shows depth below sea level of a pebble falling into a lake. The x-axis shows seconds. The y-axis shows feet below sea level. What is the point on the graph where the y-value is equal to the unit rate of the pebble's change in elevation in feet per second
To determine the point on the graph where the y-value is equal to the unit rate of the pebble's change in elevation in feet per second, we need to find the point where the slope of the graph is equal to 1 foot per second.
The slope of a graph represents the rate of change between two points. In this case, the slope represents the change in depth below sea level (y) per change in time (x), or the unit rate of the pebble's change in elevation.
Since the unit rate is 1 foot per second, we are looking for the point where the slope of the line is 1.
Therefore, we should look for the point on the graph where the slope of the line is equal to 1.