If y varies inversely as x and y= 24 when x = 4. find y when x = 3. A. 32
B. 18
C. 2
D. 288​

A. 32

Step-by-step explanation:

y varies inversely as x

y = k/x

y = 24 when x = 4

find k, the constant of variation

24 = k/4

multiply both sides by 4

96 = k

find y when x = 3

using k = 96

y = 96/3

y = 32

-9

step-by-step explanation:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: