Respuesta :
If c varies directly as l and inversely as a, then which of the equations describe the relationship among the three variables c, l and a is [tex]\rm c = k \dfrac{l}{a}[/tex].
Given ;
c varies directly as l and inversely as a.
The following steps can be used to determine the equation that describes the relationship among the three variables c, l, and a:
Step 1 - According to the given data, 'c' is directly varying as 'l'.
[tex]\rm c\; \alpha \; l[/tex]
Step 2 - Also given in the data that 'c' is inversely varying with 'a'.
[tex]\rm c \; \alpha \; \dfrac{1}{a}[/tex]
Step 3 - Combine the expression obtained in steps 1 and 2, that is:
[tex]\rm c\;\alpha \; \dfrac{l}{a}[/tex]
Step 4 - The mathematical expression of the above conclusion is given by:
[tex]\rm c = k \dfrac{l}{a}[/tex]
where k is the proportionality constant.
So, the correct option is B).
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https://brainly.com/question/21835898
