Formulate the relationship

[Guest]

Hello!
I need your help to formulate this relationship correctly.
Daily change in A follows the daily change in C. The higher A the higher C and vice versa.
F(x)=A(d)Δ -> C(d)Δ
Can you please comment if the above is ok?
Dave

[Guest]

Frankly that doesn't make sense! You have introduced "A" and "C" but then you write "F(x)". What is x? Where did it come from? The left side has no "x" in it so certainly doesn't define a function of x, F(x). What is d? A variable giving the day? That would make sense by you have to say so! And finally, what in the world is "[tex]\Delta[/tex]"?

[Math_Books_Author]

Daily change in A follows the daily change in C.

[tex]\triangle[/tex] means "change." So, [tex]\triangle[/tex]A follows [tex]\triangle[/tex]C. It means [tex]\triangle[/tex]A depends on [tex]\triangle[/tex]C. More precisely, [tex]\triangle[/tex]A is a function of [tex]\triangle[/tex]C.

[tex]\triangle[/tex]A = F([tex]\triangle[/tex]C)

It is stated that [tex]\triangle[/tex]A increases as [tex]\triangle[/tex]C increases, and [tex]\triangle[/tex]A decreases as [tex]\triangle[/tex]C decreases. So this is a case of DIRECT VARIATION. It is not stated whether the variation or the function is linear, or quadratic, or some other.

For example, if the variation were linear, then [tex]\triangle[/tex]A = k[tex]\triangle[/tex]C, where k is the constant of variation.