Proportions, Ratios, and Scale Factor Flashcard

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. It is used to determine the size of an object in relation to another object.

Front

If a map has a scale of 1 inch to 5 miles, how do you calculate the real distance between two points on the map?

Back

Multiply the distance on the map by the scale factor (5 miles per inch).

Front

How do you find the missing side length in similar triangles?

Back

Use the scale factor to multiply the known side length of the smaller triangle to find the corresponding side length of the larger triangle.

Front

If 4 workers can complete a task in 6 days, how do you determine how many workers are needed to complete the same task in a different time frame?

Back

Use the formula: (Number of workers) x (Number of days) = Constant. Adjust the number of workers based on the new time frame.

Front

If 5 trucks can transport 200 tons of goods, how do you find out how many tons 8 trucks can transport?

Back

Set up a proportion: 5 trucks/200 tons = 8 trucks/x tons, then solve for x.

Front

What is the relationship between the number of cookies and the amount of flour in a recipe?

Back

The relationship is a ratio; if the number of cookies increases, the amount of flour must also increase proportionally.

Front

How do you solve a problem involving direct variation?

Back

Identify the constant of variation and set up a direct variation equation (y = kx) to solve for the unknown.

Front

What is the formula for calculating the scale factor between two similar figures?

Back

Scale Factor = Length of a side of the larger figure / Length of the corresponding side of the smaller figure.