IM 7.2.4 Practice: Proportional Relationships and Equations
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.
On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled in miles, , to the number of hours flying, , is . 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.
Constant of proportionality:
Equation:
Each table represents a proportional relationship. For each, find the constant of proportionality, and write an equation that represents the relationship.
Constant of proportionality:
Equation:
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 using a scale factor . Label the copy B. Is Polygon A a scaled copy of Polygon B? If so, what is the scale factor that takes B to A?