If y varies directly with x, and y = 45 when x = 5, how do you write the direct linear variation equation and what is the constant?
1 Answer
The constant is 9 so
Explanation:
Basically we are back to the good fashioned ratio problem.
Solving by 'not' using the short cut method. I have opted to do this to demonstrate what is really happening with the numbers.
Let
Then
So for
To find the value of
Maintaining the proportionality of this relation ship what I am about to do to the top (numerator) I will also do to the bottom (denominator)
Divide top and bottom by 5
'~~~~~~~~~~~~~~~~~~~~~~~~~~
So the relation ship is
Multiply both sides by