SOLUTION: 8. If y varies inversely as x. If y = 15 when x = 3, find y when x = 1. A. 45 B. 4.5 C. 18 D. 5 E. 1/5 F. 0.45 9. If p varies inversely proportional to q. If q = 6 whe

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: 8. If y varies inversely as x. If y = 15 when x = 3, find y when x = 1. A. 45 B. 4.5 C. 18 D. 5 E. 1/5 F. 0.45 9. If p varies inversely proportional to q. If q = 6 whe      Log On

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Question 1197998: 8. If y varies inversely as x. If y = 15 when x = 3, find y when x = 1.
A. 45
B. 4.5
C. 18
D. 5
E. 1/5
F. 0.45

9. If p varies inversely proportional to q. If q = 6 when p = 18, find q when p = 10.
A. 1/3
B. 3
C. 60
D. 10.8
E. 28
F. 180

10. If r varies inversely with w - 1. If r = 3/50 when w = 3, find r when w is 10.
A. 75
B. 10
C. 175
D. 1/75
E. 1/750
F. 1/175
Found 3 solutions by josgarithmetic, ewatrrr, MathLover1:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The language for these works in a very consistent way.

8:
y=k%2Fx

9:
p=k%2Fq

10:
Seems to be saying, r=k%2F%28w-1%29.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
8. y varies inversely as x, 15*3 = y*1, y = 45
9. p varies inversely proportional to q, 18*6 = 10q, q= 108/10 = 10.8
10. r varies inversely with w - 1,
%283%2F50%292+=+r%2A9,
+%283%2F25%29%2F9+=+r+,
3%2F%2825%2A9%29+=+r+ = 1/75

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
8.
If y varies inversely as xthen
y=k%2Fx

if y+=+15 when x+=+3, then
15=k%2F3
k=45
formula:
y=45%2Fx
find y+when x+=+1
y=45%2F1
y=45

answer:
A. 45


9. If p+varies inversely proportional to q.
p=k%2Fq
If q+=+6 when p+=+18 ,
18=k%2F6
k=18%2A6
k=108
formula:
p=108%2Fq

find q+ when p+=+10:
10=108%2Fq
q=108%2F10
q=10.8

answer:
D. 10.8


10. If r varies inversely with w+-+1.
r=k%2F%28w-1%29
If r+=+3%2F50+when w+=+3,
3%2F50=k%2F%283-1%29
3%2F50=k%2F2
2%283%2F50%29=k
k=3%2F25
formula:
r=%283%2F25%29%2F%28w-1%29
r=3%2F%2825%28w-1%29%29

find r when w is 10
r=3%2F%2825%2810-1%29%29
r=3%2F%2825%289%29%29
r=1%2F%2825%283%29%29
r=1%2F75
answer:
D. 1%2F75