Question

If y varies inversely as x and y is 6 when x is 12, what is x when y is 14. 4? a. 5 b. 0. 4 c. 9. 6 d. 2. 5.

Answer 1

The value of x when y is 14.4 is 5.

It is given that

y ∝ 1/x

y = k/x....(1)

Where k is a constant of proportionality

What is the constant of proportionality?

The constant of proportionality is the ratio that relates two given values.

When y =6, x=12

Means, 6 = k/12

k = 72

Putting the value of k in equation (1)

y = 72/ x

14.4 = 72/ x

x = 5

Therefore, The value of x when y is 14.4 is 5.

To get more about the constant of proportionality visit:

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