Solve the Problem $\frac { 1 } { 16 }$ In of Tread Left

Multiple Choice

Solve the problem.
-The amount of tread left on a tire varies inversely as the number of miles the tire has traveled. A tire that has traveled 69,000 mi has $\frac { 1 } { 16 }$ in. of tread left. How much tread will be left on a tire that has traveled 46,000 mi?

A) $1,104,000 \mathrm { in }$ .
B) $\frac { 32 } { 3 } \mathrm { in }$ .
C) $\frac { 3 } { 32 } \mathrm { in }$ .
D) $\frac { 1 } { 1104000 }$ in.