High School

Given the equation [tex]Y = 4K^{1/2}L^{1/2}[/tex], where [tex]K = 36[/tex] and [tex]L = 100[/tex], find the output.

A. 51.7
B. 17.3
C. 24.0
D. 240.0

Answer :

Final answer:

The output of the mathematical function Y=4K^1/2L^1/2 when given the values K=36 and L=100 is calculated to be 240.0 after finding the square roots of K and L and substituting them back into the function.

Explanation:

The question presents us with a mathematical function Y=4K^1/2L^1/2, where we have been given values for 'K' and 'L'; K=36 and L=100. To solve this problem, we first need to find the square root of both K and L. The square root of 36 (K) is 6 and the square root of 100 (L) is 10.

Substituting these values into the equation we get, Y = 4 * 6 * 10 which equals 240. Therefore, the correct output for this given function and values is 240.0.

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