Answer:
(b)
Step-by-step explanation:
This is inverse variation. As y increases (but not allowed to be zero), x decreases. Thus, (b) is correct: y varies inversely with x.
The relation between the variables in the equation x= -3/y. Thus, (b) is correct, y varies inversely with x.
Let there are two variables p and q,
Then, p and q are said to be directly proportional to each other if
p = kq
where k is some constant number called constant of proportionality.
This directly proportional relationship between p and q is written as
[tex]p \propto q[/tex]
where, that middle sign is the sign of proportionality.
In a directly proportional relationship, increasing one variable will increase another.
Now let m and n are two variables.
Then, m and n are said to be inversely proportional to each other if
[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]
where c is a constant number called constant of proportionality.
This inversely proportional relationship is denoted by;
[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]
As , increasing one variable will decrease the other variable if both are inversely proportional.
Here the relation between the variables in the equation x= -3/y;
This is inverse variation, As y increases (but not allowed to be zero), x decreases.
Thus, (b) is correct, y varies inversely with x.
Learn more about directly inversely proportional relationship variable here:
https://brainly.com/question/13082482
#SPJ2
