## anonymous one year ago What does inversely proportional mean?

1. anonymous

Inversely Proportional: when one value decreases at the same rate that the other increases.

2. anonymous

examples?

3. Nnesha

i don't think s i can explain but i know the equation for inverse prp $\huge\rm y=\frac{ k }{ x }$haha :P

4. anonymous

What is the K?

5. Zale101

K is constant

6. Nnesha

^what she said :) constant of variation

7. Zale101

In this equation, we know that if y increases, x decreases and vice versa

8. anonymous

The time it takes to erect a bonfire is inversely proportional to the number of students doing the work. If it takes 20 students 1.5 hours to do the job, how long will it take 35 students to do the job, to the nearest minute?

9. Nnesha

time = y students= x

10. anonymous

THis is a super confusing problem

11. Nnesha

okay equation for inverse variation is y =k/x <--(y inversely proportional to x) read the question **time it takes to erect a bonfire is inversely proportional to the number of students** time inversely proportional to number of students let time = t students = S so equation would be $\huge\rm t =\frac{ k }{ s }$

12. Nnesha

when t =1.5 s=20 so plug in t and s value solve for k (constant of variation)

13. anonymous

ohhhh okay so 30

14. Nnesha

that's k you need y value when =35 so now use the same equation solve for y

15. Nnesha

$\rm y=\frac{ 30 }{ 35 }$

16. anonymous

6/7

17. anonymous

6/7 x 60 = 360/7 = 51.43 minutes

18. Nnesha

***to the nearest minute*** so 60 sec in a mint multiply that by 60

19. anonymous

so 51 minutes?

20. Nnesha

ye

21. anonymous

got it thanks!!

22. Nnesha

my pleasure