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A is directly proportional to B and also inversely proportional to the square of C.When B = 16 and C = 2, A = 36. Find the value of A when B = 32 and C = 4.
- a)25
- b)20
- c)18
- d)32
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A is directly proportional to B and also inversely proportional to the...
C) 18
Explanation: A = kB, A = k/C2 Or A = kB/ C2
When B = 16 and C = 2, A = 36: 36 = k*16/ 22 k = 9 Now when B = 32 and C = 4: A = 9*32/ 42
Explanation: A = kB, A = k/C2 Or A = kB/ C2
When B = 16 and C = 2, A = 36: 36 = k*16/ 22 k = 9 Now when B = 32 and C = 4: A = 9*32/ 42
Most Upvoted Answer
A is directly proportional to B and also inversely proportional to the...
Given: A is directly proportional to B and inversely proportional to the square of C.
When B = 16 and C = 2, A = 36.
To find: Value of A when B = 32 and C = 4.
Solution:
Let's first write down the formula based on the given information:
A ∝ B
A ∝ 1/C²
Combining both, we get:
A ∝ B/C²
Now we will use the constant of proportionality (k) to find the value of A:
A = k*(B/C²)
To find the value of k, we can use the given information:
When B = 16 and C = 2, A = 36.
36 = k*(16/2²)
36 = k*(16/4)
36 = 4k
k = 9
Now we can use this value of k to find the value of A when B = 32 and C = 4:
A = 9*(32/4²)
A = 9*(32/16)
A = 9*2
A = 18
Therefore, the value of A when B = 32 and C = 4 is 18.
Answer: Option (c) 18.
When B = 16 and C = 2, A = 36.
To find: Value of A when B = 32 and C = 4.
Solution:
Let's first write down the formula based on the given information:
A ∝ B
A ∝ 1/C²
Combining both, we get:
A ∝ B/C²
Now we will use the constant of proportionality (k) to find the value of A:
A = k*(B/C²)
To find the value of k, we can use the given information:
When B = 16 and C = 2, A = 36.
36 = k*(16/2²)
36 = k*(16/4)
36 = 4k
k = 9
Now we can use this value of k to find the value of A when B = 32 and C = 4:
A = 9*(32/4²)
A = 9*(32/16)
A = 9*2
A = 18
Therefore, the value of A when B = 32 and C = 4 is 18.
Answer: Option (c) 18.
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Community Answer
A is directly proportional to B and also inversely proportional to the...
C) 18
Explanation: A = kB, A = k/C2 Or A = kB/ C2
When B = 16 and C = 2, A = 36: 36 = k*16/ 22 k = 9 Now when B = 32 and C = 4: A = 9*32/ 42
Explanation: A = kB, A = k/C2 Or A = kB/ C2
When B = 16 and C = 2, A = 36: 36 = k*16/ 22 k = 9 Now when B = 32 and C = 4: A = 9*32/ 42
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