Question

Find equation of variation where y varies jointly as x and the square of z, and where y=231 when x=55 and z=3.

Answer 1

The equation of variation where y varies jointly as x and the square of z is y = 0.456xz^2.

Step-by-step explanation:

The equation of variation where y varies jointly as x and the square of z can be written as:

y = kxz^2

To find the value of k, we can use the given information in the question. When x=55 and z=3, y=231.

Substituting these values into the equation, we get:

231 = k * 55 * 3^2

Simplifying the equation, we find:

k = 231 / (55 * 9) = 0.456

Therefore, the equation of variation is y = 0.456xz^2.