Answer:
To solve this problem, you can use the formula for joint variation, which is:
x = ky^a * z^b
Where x, y, and z are the variables that are varying jointly, k is the constant of variation, and a and b are the exponents that represent the degree of joint variation between the variables.
In this problem, you are given that x varies jointly as y and z, and that y = 24 and z = 12. You are asked to find the constant of variation, k.
Substituting the given values into the formula gives:
x = k * 24^a * 12^b
Since x varies jointly with y and z, the exponents a and b must be equal to 1. Substituting these values into the formula gives:
x = k * 24 * 12
Solving for k gives:
k = x / (24 * 12)
So the constant of variation, k, is equal to x / (24 * 12). To find the value of k, you will need to know the value of x.
Explanation: