Round your answer to two decimal places.
-The amount of tread left on a tire varies inversely as the number of miles the tire has traveled. A tire that has traveled $66,000 \mathrm { mi }$ has $\frac { 1 } { 32 } \mathrm { in }$. of tread left. How much tread will be left on a tire that has traveled 21,000 mi?
A) 2,112,000 in.

B) $\frac { 1 } { 2112000 }$ in.

C) $\frac { 112 } { 11 } \mathrm { in }$.

D) $\frac { 11 } { 112 }$ in.

Question

Round your answer to two decimal places.
-The amount of tread left on a tire varies inversely as the number of miles the tire has traveled. A tire that has traveled $66,000 \mathrm { mi }$ has $\frac { 1 } { 32 } \mathrm { in }$. of tread left. How much tread will be left on a tire that has traveled 21,000 mi?
A) 2,112,000 in.

B) $\frac { 1 } { 2112000 }$ in.

C) $\frac { 112 } { 11 } \mathrm { in }$.

D) $\frac { 11 } { 112 }$ in.

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. With $66,000 \, \mathrm{mi}$ and $\frac{1}{32} \, \mathrm{in}$ of tread, we find $k = 66,000 \times \frac{1}{32}$. For $21,000 \, \mathrm{mi}$, $T = \frac{66,000 \times \frac{1}{32}}{21,000} = \frac{11}{112} \, \mathrm{in}$.

Round Your Answer to Two Decimal Places 66,000mi66,000 \mathrm { mi }66,000mi

Round Your Answer to Two Decimal Places $66,000 \mathrm { mi }$