anonymous 4 years ago If y varies inversely as x, find the constant of variation if y = 14 when x = 8. A. 112 B. 2 C. 7/4 D. 7

1. Mertsj

y=k/x

2. Mertsj

Plug in the given y and x values and find k which is the constant of variation.

3. anonymous

I don't get it

4. Mertsj

Did you see the equation I wrote?

5. anonymous

yes I did so it would be 14=k/8

6. Mertsj

$y=\frac{k}{x}$

7. Mertsj

Now solve that for k by multiplying both sides by 8

8. Mertsj

$14(8)=\frac{k}{8}(8)$

9. anonymous

112=k/64?

10. Mertsj

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11. anonymous

Ohh, I see! Thanks for taking the time to explain that!

12. Mertsj

That's why you multiply both sides by 8...so that the 8"s on the right will cancel.

13. anonymous

I see, Thanks so much!

14. Mertsj

yw