Answer:
Our equation is:
[tex]\displaystyle y=-\frac{1}{4}x[/tex]
When x=35, y=-35/4 or -8.75.
Step-by-step explanation:
We know that y varies directly with x.
The standard equation is:
[tex]y=kx[/tex]
We know that y is 5 when x is -20.
So, let’s substitute 5 for y and -20 for x and solve for k, our constant of variation. So:
[tex]5=k(-20)[/tex]
Divide both sides by -20:
[tex]\displaystyle k=-\frac{1}{4}[/tex]
Therefore, our constant of variation is -1/4.
Hence, our equation is:
[tex]\displaystyle y=-\frac{1}{4}x[/tex]
To find y when x=35, let’s substitute 35 for x. So:
[tex]\displaystyle y=-\frac{1}{4}(35)=-\frac{35}{4}=-8.75[/tex]
So, when x=35, y=-8.75.
