Final answer:
In the equation Y = A x N x (75 + K/N), if K and N both double, the overall value of Y effectively doubles. This is because the doubling of N influences the entire equation, while the effect of doubling K is offset by the doubling of N in the division K/N.
Step-by-step explanation:
In the given equation Y = A x N x (75 + K/N), if both K and N double, the equations becomes: Y = A x (2N) x (75 + (2K)/(2N)). This simplifies to Y = A x 2N x (75 + K/N), showing that the overall value of Y has effectively doubled.
It's because while the number of 'N's has doubled in the multiplication expression, the K/N part remains unaffected as the doubling of 'K' is offset by the doubling of 'N'. Hence, the effect of doubling both 'K' and 'N' amounts to simply doubling the original equation of 'Y'.
A key concept to remember here is that in terms of the equation, a constant term (doubling) applied to both the numerator and denominator in a term of addition or subtraction won't affect the term's value. However, applying the constant to a term that is being multiplied by (like 'N' in this case), will affect the overall value of the equation.
Learn more about Multiplication and Division