Unit 3A Ratios and Proportions SY23-24

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 the constant of proportionality?

Back

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

Front

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

Back

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

Front

What does a positive slope indicate on a graph?

Back

A positive slope indicates that as one variable increases, the other variable also increases.

Front

What does a negative slope indicate on a graph?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

What is zero slope?

Back

Zero slope indicates that there is no change in y as x changes; the line is horizontal.

Front

What is an undefined slope?

Back

An undefined slope occurs when a line is vertical, meaning there is no change in x as y changes.

Front

How do you set up a proportion to solve a problem?

Back

To set up a proportion, write two ratios equal to each other based on the relationship between the quantities.

Front

If the ratio of boys to girls is 4 to 5, how would you express this as a fraction?

Back