Final answer:
The student's question involves finding a missing value where y varies directly with v and w, and inversely with z. The relationship is modeled with the equation y = k(v)(w)/z, where k is the constant of proportionality. Solve by rearranging the equation, substituting known values, and solving for the unknown.
Step-by-step explanation:
The question is asking to supply the missing value when the variable y varies directly with v and w, and inversely with z. This can be represented by an equation of proportionality: y = k(v)(w)/z, where k is the constant of proportionality. To find the missing value, you must have the values of v, w, and z, or have enough information to solve for k initially, and then use it to find y given the other variables.
To solve an equation with both direct and inverse proportions:
- Identify the known values.
- Identify the unknown variable that you wish to solve for.
- Choose the appropriate equation that models the relationship.
- Substitute the known values into the equation and solve for the unknown.
In the context of the given information, you would start by rearranging to solve for v in terms of the other variables using direct and indirect proportionalities, assuming you were given the value for y and the other variables.