Ratios and Proportions D

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 does it mean for a relationship to be proportional?

Back

A relationship is proportional if the ratio between two quantities remains constant.

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship will graph as a straight line that passes through the origin (0,0).

Front

What is the constant of proportionality?

Back

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

Front

If a recipe requires 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

How do you find the constant of proportionality from a table of values?

Back

To find the constant of proportionality, divide the value of y by the value of x for any pair of corresponding values.

Front

If 5 apples cost $10, what is the cost of 1 apple?

Back

The cost of 1 apple is $2.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship is y = kx, where k is the constant of proportionality.

Front

If a car travels 120 miles in 2 hours, what is its speed in miles per hour?

Back

The speed of the car is 60 miles per hour.