Answer:
Please check the explanation.
Step-by-step explanation:
If the ratio y/x is the same for all related pairs of x and y, it means it represents a proportional relationship.
In other words, '[tex]y[/tex]' varies proportionally with '[tex]x[/tex]' or that '[tex]y[/tex]' is directly proportional to '[tex]x[/tex]'.
When we say the ratio is the same, it means when '[tex]x[/tex]' increases, '[tex]y[/tex]' increases and as '[tex]x[/tex]' decreases, '[tex]y[/tex]' decreases
Using the equation
y ∝ x
y = kx
k = y/x
Where 'k' is the proportionality constant.
[tex]x[/tex] and [tex]y[/tex] are in direct proportion
Direct proportion is defined as a proportion of two variable quantities such that the ratio of such quantities is constant.
The equation of direct proportionality is [tex]y=kx[/tex], where [tex]x,y[/tex] are the given quantities such that [tex]k[/tex] is a constant.
Relation between [tex]x,y[/tex] is as follows:
[tex]x[/tex] and [tex]y[/tex] are in direct proportion
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