Question

A swimmer enters the water and swims in a straight line at 54 meters per minute. Another swimmer enters the water

Answer 1

Answer:

$x(t) = 54t$  and $y(t) = 134(t - 3)$

Step-by-step explanation:

Represent the swimmers with A and B

For Swimmer A:

$Rate = 54m/min$

For Swimmer B:

$Rate = 134m/min$

Required:

Write a parametric equation

For Swimmer A:

If swimmer A covers 54 meters in 1 minutes, then the swimmer covers 54t in t minutes

So, the function is:

$x(t) = 54t$

For Swimmer B:

If swimmer A covers t minutes, swimmer B swims for (t - 3) minutes because swimmer B starts 3 minutes later.

If in 1 minutes, swimmer B covers 134 minutes; In (t - 3) minutes, the swimmer covers 134(t - 3)

So, the rate is:

$y(t) = 134(t + 3)$

Hence, the parametric functions are:

$x(t) = 54t$ and

$y(t) = 134(t - 3)$