Question

I WILL GIVE 5 STARS!!!8 Consider the equationy= 24x.Part ASolve the equation for y. What is the constant of proportionality?Part BDescribe a situation that the equation from Part A could represent. Be sure to specifywhat x and y represent.

Answer 1

The constant of proportionality for the derived equation for y is 3.2;

`3.2`

The equation for y is;

`y=3.2x`

Step-by-step explanation:

Given the equation;

`(3)/(4)y=2.4x`

Let us solve for y;

`\begin{gathered} (3)/(4)y=2.4x\text{ } \\ \text{ multiply through by 4;} \\ (3)/(4)y(4)=2.4x(4) \\ 3y=9.6x \\ \text{divide through by 3;} \\ (3y)/(3)=(9.6x)/(3) \\ y=3.2x \end{gathered}`

comparing the derived equation to the proportional relation;

`y=kx`

where k is the constant of proportionality.

The constant of proportionality for the derived equation for y is 3.2;

`3.2`

The equation for y is;

`y=3.2x`