## anonymous one year ago xy = –16. What is the constant of variation for this relationship? A.-6 B.-1.6 C.1/4 D.-0.16

1. anonymous

and i will give medal to the best answer and explanation

2. jim_thompson5910

General form of inverse variation equations x*y = k k is the constant of variation

3. jim_thompson5910

x*y = k can be rewritten into $$\LARGE y = \frac{k}{x}$$ after solving for x

4. anonymous

ok i got it written down what next?

5. anonymous

can you give me the answer so i can check my work? then i will give you a medal.

6. anonymous

jim_thomsan?

7. jim_thompson5910

the answer is practically given to you compare x*y = k to the equation you have x*y = -16 you'll see what the value of k must be

8. anonymous

9. anonymous

no not that

10. anonymous

-6

11. anonymous

jim?

12. anonymous

jim_thopson 5910?

13. jim_thompson5910

yeah k = -16

14. jim_thompson5910

so -16 is the constant of variation