Solve.
-The amount of tread left on a tire varies inversely as the number of miles the tire has traveled. A tire that has traveled 41,000 mi has $\frac { 9 } { 32 }$ in of tread left. How much tread will be left on a tire that has traveled 82,000 mi?
Express the answer as a fraction in simplest form.
A) $\frac { 64 } { 9 } \mathrm { in }$.
B) $\frac { 9 } { 64 } \mathrm { in }$.
C) $\frac { 107,584 } { 9 }$ in.
D) $\frac { 9 } { 107,584 }$ in.

Question

Quizplus · Accepted Answer

The relationship between tread left (T) and miles traveled (M) is inversely proportional, so $T = \frac{k}{M}$, where k is a constant. Given $T = \frac{9}{32}$ when $M = 41,000$, we find $k = \frac{9}{32} \times 41,000$. For $M = 82,000$, $T = \frac{k}{82,000} = \frac{\frac{9}{32} \times 41,000}{82,000} = \frac{9}{64}$.

Solve -The Amount of Tread Left on a Tire Varies 932\frac { 9 } { 32 }329​

Solve
-The Amount of Tread Left on a Tire Varies $\frac { 9 } { 32 }$