\( y \) varies inversely as \( x \). If \( y = 5 \) when \( x = 3 \), what is the relationship between \( y \) and \( x \)?

so if somthing varies inversely then when one value goes up, the other value goes down so xy=z and z has to be the same so lets say that z=16 when x=2 y=8 when x=4 y=4 when x=8 y=2 when x=16 y=1 so xy=z subtitute (3)(5)=15 so if x=5 y=3 x=1 y=15 x=15 y=1

Answered by apologiabiology | 2024-06-10

xy=k
3*5=k
k=15
xy=15 or y=15/x

Answered by paulcox | 2024-06-10

The relationship between y and x is expressed as y = x 15 ​ , where the product of y and x remains constant at 15. As x increases, y decreases correspondingly, demonstrating an inverse variation. For instance, if x = 1 , then y = 15 and if x = 5 , then y = 3 .
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Answered by apologiabiology | 2024-12-26