Seudónimo Seudónimo
  • 29-06-2020
  • Mathematics
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LAST ONE GUYS...PLS HELP ASAP!! y is inversely proportional to x. Given that y=10 when x=2, find the value of y when x=5

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ZJSG09112007
ZJSG09112007 ZJSG09112007
  • 29-06-2020

Answer:

y = 4

I hope it helps

Step-by-step explanation:

[tex]y \alpha \frac{1}{x} \\ y = \frac{k}{x} \\ 10 = \frac{k}{2} \\ [/tex]

[tex]k = 20 \\ y = \frac{20}{x} = formula \: connecting \\ \: x \: and \: y \\ [/tex]

[tex]x = 5 \\ y = \\ y = \frac{20}{x} \\ y = \frac{20}{5} \\ [/tex]

[tex]5y = 20 \\ \frac{5y}{5} = \frac{20}{5} \\ y = 4[/tex]

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