Answer
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.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/65957ed9-7923-4a2e-b69b-d0109c7d640d/result_image/1531197819.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T003148Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=7b4cdbe763b942dd6a631f9a72cf55ffbdc810941ef2f4bdb044cbb26bf0556c)
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.