Write an equation that expresses the relationship. Then solve the equation for c.
q varies jointly as c and the square of h.
To express the relationship between q, c, and h, we use the formula for joint variation which states that q varies jointly as c and the square of h.
The equation for joint variation can be written as:
q = k * c * h^2
Here, q represents the dependent variable, c is the first independent variable, h is the second independent variable, and k is the constant of variation.
To solve the equation for c, we need to isolate c on one side of the equation. Let's rearrange the equation to solve for c:
q = k * c * h^2
Divide both sides of the equation by (k * h^2):
q / (k * h^2) = c
Thus, the equation expressing the relationship is q = k * c * h^2, and solving it for c gives c = q / (k * h^2).
To express the relationship between q, c, and the square of h, we can use the equation:
q = k * c * h^2
Where:
q = the variable that varies
c = the constant that q varies jointly with
h = the variable that q varies jointly with, squared
k = a constant of proportionality
Now, to solve the equation for c, we need to isolate the c variable. To do this, we divide both sides of the equation by k * h^2:
q / (k * h^2) = c
Therefore, the equation expressing the relationship is q = k * c * h^2, and the solution for c is c = q / (k * h^2).
q = kch^2
Now I guess you can probably solve for c.