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How do you determine the constant of proportionality if E is inversely proportional to z and z=4 when E=6?

Answer 1

Eva Adamson

#24#

If #E# is inversely proportional to #z# by some constant #k#, then we have the equation:

#E=k/z#

When #E=6,z=4#, and therefore the constant of proportionality is:

#k=E*z#

#=6*4#

#=24#

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Answer 2

Jace Anderson

To determine the constant of proportionality, we can use the formula for inverse proportionality: E = k/z, where k is the constant of proportionality.

Given that z = 4 when E = 6, we can substitute these values into the formula: 6 = k/4.

To solve for k, we can multiply both sides of the equation by 4: 24 = k.

Therefore, the constant of proportionality is 24.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.