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.

Question

Quizplus · Accepted Answer

The relationship is inverse, so $ T \times M = k $. Given $ T = \frac{1}{16} $ in. and $ M = 69,000 $ mi, $ k = \frac{1}{16} \times 69,000 $. For $ M = 46,000 $, solve $ T \times 46,000 = k $ to find $ T = \frac{3}{32} $ in.

Solve the Problem 116\frac { 1 } { 16 }161​ In of Tread Left

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