Answer:
Option A. \(y=20\)
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a direct proportion if it can be expressed in the form \(y/x=k\) or \(y=kx\)
so
we have
For \(x=25,y=12.5\)
Find the value of k
\(k=y/x\)
substitute the values
\(k=12.5/25=0.5\)
The equation of the linear direct variation is equal to
\(y=0.5x\)
For \(x=40,y=?\)
substitute the value of x in the equation to find the value of y
\(y=0.5(40)=20\)
