Answer:
The Constant of Proportionality k is 15.
Step-by-step explanation:
Given:
y varies directly with x .
y = 75 when x = 5
To Find:
Constant of proportionality = k =?
Solution:
y varies directly with x .
i.e. y is directly proportional to x
∴ [tex]y = k\times x[/tex]
Where
k = constant of proportionality {Remain Same}
So, we will find constant of proportionality k,
∴ When x = 5 and y = 75 we have
∴ [tex]75 = k\times 5\\\\k=\frac{75}{5}[/tex]
[tex]\therefore k =15[/tex]
Therefore the Constant of Proportionality k is 15.
