SOLUTION: suppose that x and y vary inversely, and x=7 when y=11. write the function that models the inverse variation. then find y when x=10

Algebra ->  Rational-functions -> SOLUTION: suppose that x and y vary inversely, and x=7 when y=11. write the function that models the inverse variation. then find y when x=10      Log On


   



Question 1161787: suppose that x and y vary inversely, and x=7 when y=11. write the function that models the inverse variation. then find y when x=10
Found 2 solutions by Alan3354, ankor@dixie-net.com:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
suppose that x and y vary inversely, and x=7 when y=11. write the function that models the inverse variation. then find y when x=10
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write the function that models the inverse variation.
y = k/x ---- k = some constant
11 = k/7 ---> k = 77
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find y when x=10
y = 77/10
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It's not necessary to solve for k, but it's easy.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
suppose that x and y vary inversely,
x = k%2Fy
and x=7 when y=11.
7 = k%2F11
11*7 = k
k = 77
write the function that models the inverse variation.
x = 77%2Fy
then find y when x=10
10 = 77%2Fy
10y = 77
y = 77%2F10
y = 7.7