Answered

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

3 minutes later, swimming in the same direction at 134 meters per minute. Which parametric equations could model

the swimmers' paths from the time the first swimmer entered the water?

Sagot :

MrRoyalidn

Answer:

[tex]x(t) = 54t[/tex]  and [tex]y(t) = 134(t - 3)[/tex]

Step-by-step explanation:

Represent the swimmers with A and B

For Swimmer A:

[tex]Rate = 54m/min[/tex]

For Swimmer B:

[tex]Rate = 134m/min[/tex]

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:

[tex]x(t) = 54t[/tex]

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:

[tex]y(t) = 134(t + 3)[/tex]

Hence, the parametric functions are:

[tex]x(t) = 54t[/tex] and

[tex]y(t) = 134(t - 3)[/tex]

Answer:

A on Edge

Step-by-step explanation:

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