SOLUTION: Suppose y varies inversely as X and Y = 5 when x = 20. Find x when y = 2

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Question 60429This question is from textbook alegbra concepts and applications
: Suppose y varies inversely as X and Y = 5 when x = 20. Find x when y = 2 This question is from textbook alegbra concepts and applications

Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
y=K/x [formula for inverse relationship between x and y; K=a constant number]
5=K/20 [Plug-in the values and solve for K]
(5)(20)=K
100=K
.
Find x when y=2
y=K/x
2=100/x [Plug in the values and solve for x]
2x=100
x=100/2
x=50
.
Check by plugging all of the values into the equation:
y=K/x
2=100/50
2=2 [Checks out}