Answer
Let laps swam represent y and let the number of minutes spent swimming represent x
Equation: y=1.5x
Table:
X | Y
(0 , 0)
(1 , 1.5)
(2 , 3)
(3 , 4.5)
(4 , 6)
Work Step by Step
We can model the relationship through the equation y=1.5x because since Sue swims 1.5 laps per minute, the slope becomes 1.5 and since Sue has to start a 0 laps at 0 minutes, the y-intercept become (0,0), thus forming the equation.
The table can be formed by plugging in any value for x and then solving for y. For example:
(Plugging in 4 for x)
y=1.5x
y=1.5(4)
y=6
This forms the ordered pair (4,6).