Question

Kassie and Luke timed each other during swim practice. The speed atwhich Kassie swims is represented by the equation d = 1.22t, where disthe number of meters that she swims and t is the amount of seconds ittakes. The speed at which Luke swims is represented in the table shown.Who swims at a faster rate?Kassie OrLuke

Answer 1

Luke swims at a faster rate

Step-by-step explanation:

Given that;

Kassie and Luke timed each other during swim practice.

The speed at which Kassie swims is represented by the equation;

`d=1.22t`

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;

`\begin{gathered} \text{rate =}\frac{change\text{ in distance}}{\text{change in time}} \\ \text{rate}=(\Delta d)/(\Delta t)=(d_2-d_1)/(t_2-t_1) \\ \text{ substituting two corresponding values from the table;} \\ \text{rate}=(7.44-3.72)/(6-3) \\ \text{rate = 1.24 m/s} \end{gathered}`

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