Question

a certain ceiling is made up of tiles. every square meter of ceiling requires 10.75 tiles. fill in the table with the missing values. square meters of ceiling number of tiles 1 10 100 a on a flight from new york to london, an airplane travels at a constant speed. an equation relating the distance traveled in miles, d, to the number of hours flying, t, is t = 1/500 d. how long will it take the airplane to travel 800 miles?

Explanation:

Step1: Find tiles for 1 square - meter

Since 1 square - meter requires 10.75 tiles, when the area is 1 square - meter, the number of tiles is 10.75.

Step2: Find tiles for 10 square - meters

We use the formula: number of tiles = number of square - meters×10.75. For 10 square - meters, the number of tiles is 10×10.75 = 107.5.

Step3: Find square - meters for 100 tiles

We use the formula: number of square - meters=\(\frac{\text{number of tiles}}{10.75}\). So, the number of square - meters for 100 tiles is \(\frac{100}{10.75}=\frac{100}{\frac{43}{4}}=\frac{400}{43}\approx9.30\).

Step4: Find tiles for \(a\) square - meters

Using the formula number of tiles = number of square - meters×10.75, for \(a\) square - meters, the number of tiles is \(10.75a\).

Answer:

Square Meters of Ceiling	Number of Tiles
10	107.5
\(\frac{400}{43}\approx9.30\)	100
\(a\)	\(10.75a\)