: If you know that a ∝ b and a ∝ c, then you can also say that a ∝ bc, or the product of b and c. Take the above three proportionalities (including V ∝ n) and combine them into a single proportionality in the form: V ∝ ? Show your work below.

Respuesta :

Answer:

V ∝ abc

Explanation:

This task is a joint variation task involving only direct proportionality:

Direct variation is one in which two variables are in direct proportionality to each other. This means that as one increases, the other variable also increases and vice - versa.

Joint variation is one in which one variable is dependent on two or more variables and varies directly as each of them.

In this exercise:

If a ∝ b and a ∝ c, then a ∝ bc

Taking the above three proportionalities,

V ∝ a ∝ b ∝ c

V ∝ a ∝ bc

V ∝ abc

The single proportional form has been given as, [tex]V\propto abc[/tex].

The proportional has been  given as the direct and joint variables to deliver the relationship between the variables.

The directly proportional variables have been constituted of relation with increase in a variable results in other variables.

Computation of joint proportionality

The given relation has been given as:

[tex]V\propto a\propto b \propto c\\V\propto abc[/tex]

The single proportional form has been given as, [tex]V\propto abc[/tex].

For more information about proportionality, refer to the link:

https://brainly.com/question/5837592