(3/5)y = 8x determine the constant of proportionality

Question

Determine the constant of proportionality. Assume that y represents all of the outputs and x represents all of the inputs.

Answer 1

Hi Sophia,

The constant of proportionality (represented by the variable , k) is the number that x would be multiplied by to give y . The equation takes the form of y= k x

For this problem, we would need to solve the given equation for y and the value of k will be "revealed":

3y = 8 x

5

We can multiply both sides of the equation by the reciprocal of 3/5 (which is 5/3) to find k:

5 • 3y = 5 • 8 x

3 5 3 1

Then :

y= 40 x

3

The constant will be: 40

3