Translate the statement of variation into an equation; use k as the constant of variation. V varies jointly as s and the fourth power of u.
V = k s u^4
To translate the statement of variation into an equation, we can write:
V = k * s * u^4
In this equation, V represents the variable that varies, s represents one of the variables it varies directly with, and u represents the other variable it varies jointly with. The constant of variation is represented by k.
To translate the statement of variation into an equation using the constant of variation, k, we need to express how V (the variable that varies) relates to s and the fourth power of u (the variables that affect the variation).
The statement says that V varies jointly as s and the fourth power of u. This means that V is directly proportional to both s and (u^4). In equation form, this can be written as:
V = k * s * (u^4)
Where:
V = the variable that varies
k = the constant of variation
s = the first variable that affects the variation
u = the second variable (raised to the fourth power) that affects the variation