If y varies inversely as x, and y = 1 as x = -2, find y for the x-value of -1.

1
-2
2
-1

c/y = x, where c is a constant

when y = 1, x = -2

then c = xy = -2*1 = -2

when x = -1

y = c/x = -2/-1 = 2

since

y varies inversely as x

so, y = k/x [k is constant]

so, k = xy.............i

y=1 when x =-2

so, k = -2*1 = -2 ............ii

now x = -1; y = ?

-1*y = -2

y = -2/-1 = 2

so y = 2 as x = -1