Answer:
Luke swims at a faster rate
Explanation:
Given that;
Kassie and Luke timed each other during swim practice.
The speed at which Kassie swims is represented by the equation;
[tex]d=1.22t[/tex]
So, Kassie's rate is 1.22 m/s
The speed at which Luke swims is represented in the table shown;
From the table, the rate will be;
[tex]\begin{gathered} \text{rate =}\frac{change\text{ in distance}}{\text{change in time}} \\ \text{rate}=\frac{\Delta d}{\Delta t}=\frac{d_2-d_1}{t_2-t_1} \\ \text{ substituting two corresponding values from the table;} \\ \text{rate}=\frac{7.44-3.72}{6-3} \\ \text{rate = 1.24 m/s} \end{gathered}[/tex]
So, Luke's rate is 1.24 m/s
Comparing the rate (speed) of Kassie and Luke, we can see that Luke has a higher rate.
Therefore, Luke swims at a faster rate
