Question

Which set of equations could be parametric equations?
y= x and y= 3x
y= x + 1 and y= 3x2
x= t and y=3t
x= 3y and y= x+1

Answer 1

The set of equations x = t and y = 3t could be parametric equations ⇒ 3rd answer

Step-by-step explanation:

Lets explain the meaning of parametric equations

A parametric equation is where the x and y coordinates are both written in terms of another letter

Examples:

1. x = 2t and y = 2 - t²
2. x = 0.5 Ф and y = 2Ф, where Ф is measured from the positive x-axis

Let us find the set of the parametric equations from the answer

Fist answer:

∵ y = x and y = 3x

∴ It is a set of linear equations

Second answer:

∵ y = x + 1 and y = 3x²

∴ It is a set of linear and quadratic equations

Third answer:

∵ x = t and y = 3t

∵ x and y are represented in terms of t

∴ It is a set of parametric equations

Fourth answer:

∵ x = 3y and y = x + 1

∴ It is a set of linear equations

The set of equations x = t and y = 3t could be parametric equations

learn more:

You can learn more about the parametric equations in brainly.com/question/1600331

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