Question

the fortaleza telescope in brazil is a radio telescope. its shape can approximated with the equation y=0.013x2 is the relationship between x and y linear? is it proportional? explain

Answer 1

we have that

the given equation is

`y=0.013x^(2)`

we know that

The general linear equation is equal to

`y=mx+b`

where

m and b are real numbers

Every equation in this form is a linear equation. The linear equations represent linear functions. Equations than cannot be written in this form are not linear equations, and therefore are not linear functions

The given equation is not a line, is a quadratic equation, therefore is not a linear equation, is a non linear function.

Only a linear relationship can be proportional,

so

the relationship is not proportional

therefore

the answer is

the relationship between x and y is a non linear function and is not proportional

Answer 2

Is the relationship between x and y linear?
No, the relationship between x and y is not linear, because x has power 2. To be a linear relationship the powers of x and y must be 1.
Is it proportional?
No, it is not proportional.
Only is proportional for x>0. For x<0 is inversily proportional.