Question

Can some help me, please? ​

Answer 1

Since value of k is same for y/x for all values in the table so, y varies directly with x

And equation is: $y=-2.25\,x$

Step-by-step explanation:

We need to find if y varies directly with x from the values given in the table.

If y varies directly with x then we have the equation:

$y=k\,x$

where k is constant of proportionality

or we can write

$\frac{y}{x}=k$

If k is same for all values of x and y when (y/x=k) then we can say that y varies directly with x.

if x = -20 and y=45 then k is:

$\frac{45}{-20}=-2.25$

So, value of k is -2.25

if x = 1 and y=-2.25 then k is:

$\frac{-2.25}{1}=-2.25$

So, value of k is -2.25

if x = 12 and y=-27 then k is:

$\frac{-27}{12}=-2.25$

So, value of k is -2.25

Since value of k is same for y/x for all values in the table so, y varies directly with x

And equation is: $y=-2.25\,x$

Keywords: Direct Relationship

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