Solve this Direct and Inverse Variation
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P varies directly as Q2 and inversely as root R. When Q=8 and R=25,P=16. Find P when Q=5 and R=9.
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simple
- DeswimmerAdministrator
- Gender : Male
Time Online : 50d 3h 17m 1s
State : Enugu
My Club :
Posts : 533 Posts Liked : 140
Awards :
P ¤ Q2
√R
STEP 1: Applying the constant K in the variation formula above
When we apply K in the above would have
P=K x Q2
√R
STEP 2: Substituting with the given values
16=K x 82
√25
16=K x 64
5
STEP 3: Cross multiplying the value
when you cross multiply we would have
16 x 5 = k x 64
80=64k
STEP 4: Dividing both sides by 64
80 = 64k
64 = 64
k=1.25
STEP 5: Finding P in the given question
In order to find P, we will still use the formula above in step one.
P= k x 52
√9
P=1.25 x 52
√9
P=1.25 x 25
3
P=10.417 answer
√R
STEP 1: Applying the constant K in the variation formula above
When we apply K in the above would have
P=K x Q2
√R
STEP 2: Substituting with the given values
16=K x 82
√25
16=K x 64
5
STEP 3: Cross multiplying the value
when you cross multiply we would have
16 x 5 = k x 64
80=64k
STEP 4: Dividing both sides by 64
80 = 64k
64 = 64
k=1.25
STEP 5: Finding P in the given question
In order to find P, we will still use the formula above in step one.
P= k x 52
√9
P=1.25 x 52
√9
P=1.25 x 25
3
P=10.417 answer
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