Question

The relationship between x and y can be written as y = mx , where m is a constant. If y = 17 when x = a , what is the value of y when x = 2a ?

Answer 1

Substituting the values 

y = 17 and x = a into the equation 

y = mx yields 17 = ma. 

Solving for a gives α = 17/m.

This can be substituted for a in x = 2a, 

which yields \(x=2(\frac{17}{m}),\) or  \(x=\frac{34}{m}.\)

Substituting \(x=\frac{34}{m}\) into the equation 

y = mx yields \(y=m(\frac{34}{m}).\)

This equation can be rewritten as y = 34.