Ratios and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, expressed as a fraction, decimal, or with a colon (e.g., 3:2).

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal, often written in the form a/b = c/d.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented as y = kx.

Front

How do you calculate speed using distance and time?

Back

Speed is calculated by dividing the distance traveled by the time taken, expressed as Speed = Distance / Time.

Front

What is the formula for converting a scale in a blueprint to actual measurements?

Back

To convert a scale to actual measurements, use the formula: Actual Length = (Blueprint Length) * (Scale Factor).

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and set the products equal to each other, then solve for the unknown variable.

Front

What is the relationship between direct variation and proportionality?

Back

Direct variation is a specific type of proportionality where one variable is a constant multiple of another, expressed as y = kx.

Front

What does it mean if two quantities are directly proportional?

Back

If two quantities are directly proportional, as one quantity increases, the other quantity increases at a constant rate.

Front

How can you represent a proportional relationship graphically?

Back

A proportional relationship can be represented graphically as a straight line that passes through the origin (0,0).

Front

What is the significance of the scale in a blueprint?

Back

The scale in a blueprint indicates the ratio of the dimensions in the drawing to the actual dimensions, allowing for accurate construction.