Question

do points to hire somebody to retile his back to the research around for 3 local Tyler's is presented on the table below he was able to find the average area of the Tile Inc job in the time it took the time to complete the job calculate the unit rate for each t i l e r above to determine if porportional relationships exist

Answer 1

From the table,

The total area tiled bu Toni's tile is: 803 sq ft

The time taken is: 2 hour and 12 minuts.

The expression to calculate the unit rate is,

$\begin{gathered} r=\frac{Total\text{ area}}{\text{Total time}} \\ =\frac{803}{2\times60+12} \\ =\frac{803}{132} \\ =6.083\text{ sq ft/ min} \end{gathered}$

Thus, the unit rate of Toni's tile is 6.083 sq ft/ min.

Bob's tiles:

The total area covered by the tile is: 1460 sq ft.

The total time required is: 4 hour.

The expression to calculate the unit rate is,

$\begin{gathered} r=\frac{Total\text{ Area}}{\text{Total time}} \\ =\frac{1460\text{ sq ft}}{4\times60} \\ =\frac{1460}{240} \\ =6.083\text{ sq ft/min} \end{gathered}$

Thus, the unit rate of Bob's tiles is 6.083 sq ft/min

Rhonda's Tiles:

The total area is: 753 sq ft

The total time required is: 1 hour and 30 minuts.

The expression to calculate the unit rate is,

$\begin{gathered} r=\frac{753}{1\times60+30} \\ =\frac{753}{90} \\ =8.367\text{ }sq\text{ ft/min} \end{gathered}$

Thus, the unit rate of Rhonda's Tiles is 8.367 sq ft/min.

Toni's tiles and Bob's tiles have the same rate of unit.