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To model a situation where ( y ) varies inversely with the fourth power of ( x ), you can use the equation ( y = \frac{k}{x^4} ), where ( k ) is a constant. This means that as ( x ) increases, ( y ) decreases in proportion to the fourth power of ( x ), and vice versa. The constant ( k ) can be determined based on specific conditions or data points related to the situation.

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2mo ago

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What ifs the mathematical model for h varies inversely as the square root of s?

If ( h ) varies inversely as the square root of ( s ), the relationship can be expressed mathematically as ( h = \frac{k}{\sqrt{s}} ), where ( k ) is a constant. This means that as ( s ) increases, ( h ) decreases, and vice versa, following the inverse square root relationship. To find the specific value of ( k ), you would need a specific pair of values for ( h ) and ( s ).


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