Question

If y varies jointly with x and z, what is the constant of proportionality when y=30, x=4, and z=5?

Answer 1

So, if y varies jointly with x and z, that implies a direct proportionality.

The equation will look something like this:

y = xzk

"k" is the constant of proportionality.

Now, when y = 30, x =4, and z = 5:

30 = (4)(5)k

Multiplied:

30 = 20k

divided 30 by 20:

3/2 = k

So your final answer is:

The constant of proportionality in the equation y = xzk when y = 30, x = 4, and z = 5, is 3/2 or 1.5.

Hope that helps!