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A bicycle path starts 5 miles due east of an intersection, and continues in a straight line to finish 8 miles due north of the same intersection. Let the intersection be represented by the point (0, 0). Suppose a cyclist rides the path from start to finish in 2 hours. Which parametric equations model the path of the rider?

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Answer:

see image below

Step-by-step explanation:

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jayilych4real

The parametric equations that models the path of the rider are:

  • x(t) = -5/2t + 5 and y (t)= 4t
  • x(t) = -5/2t + 5 and y(t) = 4t + 8

What is a Parametric Equation?

This refers to the type of equation that makes use of a parameter to define dependent variables.

Hence, we can see that to model the path of the rider, the parametric equation that can be best used is to model the direction of the bicycle which is moving 5 miles east and then continues 8 miles north, and the fact that they started at rest 0 and the equations to make the model are:

  • x(t) = -5/2t + 5 and y (t)= 4t
  • x(t) = -5/2t + 5 and y(t) = 4t + 8


Read more about parametric equations here:

https://brainly.com/question/12796225

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