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P is directly proportional to Q, and Q = 7 when P = 15, find P when Q = 14.
- a)36
- b)54
- c)30
- d)60
Correct answer is option 'C'. Can you explain this answer?
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P is directly proportional to Q, and Q = 7 when P = 15, find P when Q ...
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P is directly proportional to Q, and Q = 7 when P = 15, find P when Q ...
To solve this problem, we can use the concept of direct proportionality. When two variables, P and Q, are directly proportional, it means that as one variable increases or decreases, the other variable changes in the same proportion.
Given that P is directly proportional to Q, we can write the equation as:
P = kQ
where k is the constant of proportionality.
We are also given that when Q = 7, P = 15. We can use this information to find the value of k.
Substituting the values into the equation, we have:
15 = k(7)
To find the value of k, we divide both sides of the equation by 7:
k = 15/7
Now that we have the value of k, we can use it to find the value of P when Q = 14.
Substituting Q = 14 and k = 15/7 into the equation, we have:
P = (15/7)(14)
P = 30
Therefore, when Q = 14, P = 30.
The correct answer is option C) 30.
Given that P is directly proportional to Q, we can write the equation as:
P = kQ
where k is the constant of proportionality.
We are also given that when Q = 7, P = 15. We can use this information to find the value of k.
Substituting the values into the equation, we have:
15 = k(7)
To find the value of k, we divide both sides of the equation by 7:
k = 15/7
Now that we have the value of k, we can use it to find the value of P when Q = 14.
Substituting Q = 14 and k = 15/7 into the equation, we have:
P = (15/7)(14)
P = 30
Therefore, when Q = 14, P = 30.
The correct answer is option C) 30.
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P is directly proportional to Q, and Q = 7 when P = 15, find P when Q = 14.a)36b)54c)30d)60Correct answer is option 'C'. Can you explain this answer?
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