Answer:
n/m = 1.5 is direct variation
v = 1/3 bh is joint variation
y = -7 is constant
vw = -18 is inverse variation
Step-by-step explanation:
* Lets explain the types of variation
- Direct variation is a relationship between two variables that can be
expressed by an equation in which one variable is equal to a constant
times the other
# Ex: the equation of a direct variation y = kx , where k is a constant
- Inverse variation is a relationship between two variables in which their
product is a constant.
- When one variable increases the other decreases in proportion so
that their product is unchanged
# Ex: the equation of a inverse variation y = k/x , where k is a constant
- Joint variation is a variation where a quantity varies directly as the
product of two or more other quantities
# Ex: If z varies jointly with respect to x and y, the equation will be of
the form z = kxy , where k is a constant
- The constant function is a function whose output value (y) is the
same for every input value (x)
* Lets solve the problem
∵ n/m = 1.5 ⇒ multiply both sides by m
∴ n = 1.5 m
∵ The equation in the shape of y = kx
∴ n/m = 1.5 is direct variation
∵ v = 1/3 bh
∵ 1/3 is a constant
∴ v is varies directly with b and h
∴ v = 1/3 bh is joint variation
∵ y = -7
∴ All output will be -7 for any input values
∴ y = -7 is constant
∵ vw = -18
∵ -18 is constant
∵ The product of the two variables is constant
∴ vw = -18 is inverse variation
