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x varies directly as y and x varies inversely as the square of z, when y = 75 and x = 6, then z = 5. Find the value of x, when y = 24 and z = 4.
  • a)
    1
  • b)
    2
  • c)
    3
  • d)
    4
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
x varies directly as y and x varies inversely as the square of z, whe...
To solve this problem, we can use the concept of direct and inverse variation.

Given:
x varies directly as y, which means x = ky for some constant k.
x varies inversely as the square of z, which means x = k/z^2 for some constant k.

First, let's find the value of k using the given information when y = 75 and x = 6.
x = ky
6 = k * 75
k = 6/75
k = 2/25

Next, let's find the value of k using the given information when z = 5.
x = k/z^2
x = (2/25) / 5^2
x = (2/25) / 25
x = 2/625

Now, let's find the value of x when y = 24 and z = 4.
x = ky
x = (2/25) * 24
x = 48/25
x = 1.92

Since the options provided are whole numbers, we need to round the answer to the nearest whole number. The closest whole number to 1.92 is 2.

Therefore, the value of x when y = 24 and z = 4 is 2.

The correct answer is option 'C'.
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x varies directly as y and x varies inversely as the square of z, when y = 75 and x = 6, then z = 5. Find the value of x, when y = 24 and z = 4.a)1b)2c)3d)4Correct answer is option 'C'. Can you explain this answer?
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