Answer:
The constant of proportionality for the derived equation for y is 3.2;
[tex]3.2[/tex]
The equation for y is;
[tex]y=3.2x[/tex]
Explanation:
Given the equation;
[tex]\frac{3}{4}y=2.4x[/tex]
Let us solve for y;
[tex]\begin{gathered} \frac{3}{4}y=2.4x\text{ } \\ \text{ multiply through by 4;} \\ \frac{3}{4}y(4)=2.4x(4) \\ 3y=9.6x \\ \text{divide through by 3;} \\ \frac{3y}{3}=\frac{9.6x}{3} \\ y=3.2x \end{gathered}[/tex]
comparing the derived equation to the proportional relation;
[tex]y=kx[/tex]
where k is the constant of proportionality.
The constant of proportionality for the derived equation for y is 3.2;
[tex]3.2[/tex]
The equation for y is;
[tex]y=3.2x[/tex]
