The table and the graph for the relationship are attached below. The equation for the relationship is L=1.5t where L stands for laps and t stands for minutes.
Work Step by Step
The equation for the relationship was L=1.5t because sue swims 1.5 laps per minute which is the slope of the graph and so m=1.5 and t is the independent variable (i.e. x) as the number of total laps depends on the time she is in the water. L is the dependent variable (i.e. y) as it depends on the number of minutes Sue swims for. The equation of a line is y=mx+b and in this question the slope is 1.5 so it becomes L=1.5t.