Answer:
The answer is y = 6/x ⇒ answer A
Step-by-step explanation:
* Lets revise what is the meaning of the inverse variation
- It is a mathematical relationship between two variables
- It can be expressed by an equation in which the product of two
variables is equal to a constant
- If y is in inverse variation with x
∴ y ∝ 1/x
- Change this relation to equation
∴ y = k/x, where k is the constant of the variation
- We can write it by another way
∵ y ∝ 1/x
∴ y = k/x ⇒ by using cross multiplication
∴ yx = k
* Now lets solve the problem
∵ There is an inverse variation between the two variables x and y
∴ y ∝ 1/x
∴ y = k/x
- Look to the answer
# We will chose A because
∵ y = 6/x ⇒ use the cross multiplication
∴ yx = 6 ⇒ and 6 is a constant
∴ k = 6
* The answer is y = 6/x
[ given ]
[ distributive property ]
[ addition property of equality ]
[ addition property of equality ]
[ division property of equality ]