Assume that y varies inversely with x. If y = -3 when x = 2.4, what is y when x = 2?

Question

anonymous · Answer

http://openstudy.com/study#/updates/4efff9afe4b01ad20b5384f1

psymon · Answer

Okay, so inversely means we have the set up of 
$$y = \frac{ k }{ x }$$Your first job is to always use y and x to help you find k, then usually you use k and x to find y in the second portion. SO based on how the inverse format should look, I an plug in -3 for y and 2.4 for x and solve for k

$$-3 = \frac{ k }{ 2.4 }$$
Multiply both sides by 2.4
$$-3*2.4 = k \implies k = -7.2$$Now we got k, so we can do the second part of the problem. We use x = 2 and k = -7.2 and solve for y, using the same format as before.

$$y = \frac{ k }{ x } \implies y = \frac{ -7.2 }{ 2 } \implies y = -3.6$$

anonymous · Answer

ily

psymon · Answer

Lol, np then I guess xD