match each equation with the correct type of function.
n/m=1.5
v=1/3bh
y=-7
vw=-18

inverse variation
step function
joint variation
direct variation
constant

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

40 x 50 = 2000

step-by-step explanation: