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Bastaaccounttoeego
Answered

4. If p varies jointly as q and r squared, and p = 225 when q = 4 and r = 3, find p when q = 6 and
r= 8.
a. 2,400
b.3,400
C. 4,400
d. 5,400
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Sagot :

Answer:

a. 2400

Step-by-step explanation:

When solving this type of problem, its important to solve the constant (k) of the variation first.

p = kqr²

Given:

  • p = 225 when q = 4 and r = 3.

Substitute the value of the variables.

225 = k(4)(3²)

225 = 4k(9)

225 = 36k

k = 225/36 = 6.25

Now lets find p when q = 6 and r = 8

p = (6.25)(6)(8²)

p = (37.5)(64)

p = 2,400

Therefore the correct answer is a. 2,400

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