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Suppose that x and y vary inversely, and x = 7 and y=11. Which function models the inverse variation?Answers:Y=1.57xY=77/xY=4/xY=18/x

User Daksh
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1 Answer

3 votes

Answer:

Y=77/x

Explanation:

Y varies inversely with x meaning


y\propto(1)/(x)

adding a proportionality constant gives


y\propto(k)/(x)

Now, we are told that y = 11 and x = 7; therefore, the above gives


11=(k)/(7)

Solving for k gives


k=77

Therefore, the function that models the inverse variation is


y=(77)/(x)

which is our answer!

User Bruie
by
8.6k points

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