Q:

Suppose the relationship between X and Y is proportional when X is 5, why is 75 identify the constant of proportionality of x to y suppose the relationship between X and Y is proportional. When X is 5, why is 75. Identify the constant of proportionality of x to y

Accepted Solution

A:
Answer:The Constant of Proportionality k is 15.Step-by-step explanation:Given:y varies directly with x .y = 75 when x = 5To 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]Wherek = 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.