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Advanced Math
/ Nonlinear equations in one variable and systems of equations in two variables
Difficulty: Hard
During a 5-second time interval, the average acceleration a, in meters per second squared, of an object with an initial velocity of 12 meters per second is defined by the equation 
, where vf is the final velocity of the object in meters per second. If the equation is rewritten in the form vf = xa + y, where x and y are constants, what is the value of x ?
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Explanation
The correct answer is 5. The given equation can be rewritten in the form 
, like so:
It follows that the value of x is 5 and the value of y is 12.