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A ceiling is made up of tiles. Every square meter of the 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 \(t = \frac{1}{500} d\). How long will it take the airplane to travel 800 miles?
Each table represents a proportional relationship. For each, find the constant of proportionality, and write an equation that represents the relationship.
| \(s\) | \(P\) |
|---|---|
| 2 | 8 |
| 3 | 12 |
| 5 | 20 |
| 10 | 40 |
Constant of proportionality:
Equation: \(P =\)
| \(d\) | \(C\) |
|---|---|
| 2 | 6.28 |
| 3 | 9.42 |
| 5 | 15.7 |
| 10 | 31.4 |
Constant of proportionality:
Equation: \(C =\)
A map of Colorado says that the scale is 1 inch to 20 miles or 1 to 1,267,200. Are these two ways of reporting the scale the same? Explain your reasoning.
Here is a polygon on a grid.
Draw a scaled copy of the polygon using a scale factor 3. Label the copy A.
Draw a scaled copy of the polygon with a scale factor \(\frac{1}{2}\). Label it B.
Is Polygon A a scaled copy of Polygon B? If so, what is the scale factor that takes B to A?