Question

To convert a length measured in feet to a length measured in centimeters, we use the facts that a length measured in feet is proportional to a length measured in centimeters and that $1 \mathrm{ft}$ corresponds to $30.5 \mathrm{~cm}$. If $x$ denotes the length measured in $\mathrm{ft}$ and $y$ denotes the length measured in $\mathrm{cm}$, then $y=30.5 x$ (a) Use the relationship to convert the following measurements into centimeters: (i) $6 \mathrm{ft}$ (ii) 4 in (iii) $1 \mathrm{ft}, 7 \mathrm{in}$ (iv) $20.5$ in (b) Rearrange the formula to show how the length $x$, measured in feet, can be obtained from the length $y$, measured in $\mathrm{cm}$. (c) Use the relationship to convert the following measurements into ft: (i) $195 \mathrm{~cm}$ (ii) $12 \mathrm{~cm}$ (iii) $48 \mathrm{~cm}$

          To convert a length measured in feet to a length measured in centimeters, we use the facts that a length measured in feet is proportional to a length measured in centimeters and that $1 \mathrm{ft}$ corresponds to $30.5 \mathrm{~cm}$. If $x$ denotes the length measured in $\mathrm{ft}$ and $y$ denotes the length measured in $\mathrm{cm}$, then $y=30.5 x$
(a) Use the relationship to convert the following measurements into centimeters:
(i) $6 \mathrm{ft}$
(ii) 4 in
(iii) $1 \mathrm{ft}, 7 \mathrm{in}$
(iv) $20.5$ in
(b) Rearrange the formula to show how the length $x$, measured in feet, can be obtained from the length $y$, measured in $\mathrm{cm}$.
(c) Use the relationship to convert the following measurements into ft:
(i) $195 \mathrm{~cm}$
(ii) $12 \mathrm{~cm}$
(iii) $48 \mathrm{~cm}$

Added by Connie H.

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