SOLUTION: If x varies inversely as y and x = 2 when y = 8, find x when y = 15. PLEASE HELP

Question 93430This question is from textbook
: If x varies inversely as y and x = 2 when y = 8, find x when y = 15. PLEASE HELP This question is from textbook

Found 2 solutions by jim_thompson5910, Earlsdon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
When x varies inversely with y, you simply have this relationship

Plug in and

Multiply both sides by 2

Multiply

So our equation is

Now plug in y=15 to find x

Multiply both sides by x

Divide both sides by 15
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
You can write this relationship (formula) as:
x varies inversely (upsidedownwardly ?) as y which really means that if y goes up then x goes down and vice versa. The k is called the proportionality constant.
We need to determine the value of k. This can be done with the help of the given information that x = 2 when y = 8. Substituting these values into the above equation allows us to solve for k.
Multiply both sides by 8.
so...

Now our formula looks like this:

Now we are ready to answer the question: What is x when y = 15.

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