Question

Assume that y varies inversely with x. If y = -3 when x = 2.4, what is y when x = 2?
A)-3.6
B)-0.8
C)-7.2
D)4.8

Answer 1

I would say c

Answer 2

\[\large y = \frac{k}{x}\]
y = -3 when x = 2.4 so
\[\large -3 = \frac{k}{2.4} \rightarrow k = -7.2\]

If k = -7.2 we then have

\[\large y = \frac{-7.2}{x}\] so now when x = 2...what is y? well we lug that 2 in for x and solve for 'y'

\[\large y = \frac{-7.2}{2}\]