Answer:
The constant of proportionality in the given equation is, 2.5
Step-by-step explanation:
The direct proportionality states that:
[tex]y \propto x[/tex] then the equation is in the form of:
[tex]y=kx[/tex] .........[1] ; where, k is the constant of proportionality
Given the equation:
[tex]y=2.5x[/tex]
On comparing equation [1] we have;
[tex]k = 2.5[/tex]
Therefore, the constant of proportionality in the given equation is, 2.5
Answer:
The constant of proportionality is equal to 2.5.
Step-by-step explanation:
The given equation is [tex]y=2.5x[/tex].
Now, let's assume y is proportional to x.
Mathematically, it can be written as,
[tex]y\propto x[/tex]
Now, to eliminate the sign of proportionality by equal to, it is required to introduce a constant term. It can be represented as,
[tex]y=kx \texttt{ (k is constant)}[/tex]
Now, compare the given equation with the above equation,
[tex]y=2.5x\\y=kx\\k=2.5[/tex]
The above comparison concludes that the constant of proportionality is equal to 2.5.
For more details, refer the link:
https://brainly.com/question/18707816?referrer=searchResults
