Find the quantity indicated.
-x varies inversely as If x = 2 when y = 12, find x when y = 2.
A) x = 6
B) x = 8
C) x = 24
D) x = 72

Question

Find the quantity indicated.
-x varies inversely as  If x = 2 when y = 12, find x when y = 2.
A) x = 6 
B) x = 8 
C) x = 24 
D) x = 72

Quizplus · Accepted Answer

We know that x varies inversely with the given expression, therefore we can write:
x = k/(11ebb63d_1b63_880a_b851_7b3a43136612_TB8475_11)
where k is a constant of proportionality.
Using the initial condition, when x = 2 and y = 12, we can find the value of k:
2 = k/(11ebb63d_1b63_880a_b851_7b3a43136612_TB8475_11 * 12)
k = 2 * 11ebb63d_1b63_880a_b851_7b3a43136612_TB8475_11 * 12
Now, we can use this value of k to find x, when y = 2:
x = 2 * 11ebb63d_1b63_880a_b851_7b3a43136612_TB8475_11 * 12 / (11ebb63d_1b63_880a_b851_7b3a43136612_TB8475_11 * 2)
x = 72
Therefore, the answer is D.

Find the Quantity Indicated