Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

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

If c = 3.5p, what does 3.5 represent?

Back

3.5 represents the constant of proportionality, indicating that for every pound of potato salad, the cost is $3.50.

Front

How do you determine if an equation represents a proportional relationship?

Back

An equation represents a proportional relationship if it can be expressed in the form y = kx, where k is a non-zero constant.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but may differ in size, meaning their corresponding angles are equal and their sides are in proportion.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

If the cost of 5 pounds of potato salad is $17.50, what is the constant of proportionality?

Back

The constant of proportionality is $3.50 per pound.

Front

What is the formula to find the slope of a line?

Back

The slope (m) of a line can be found using the formula m = (y2 - y1) / (x2 - x1).

Front

If y = 5x, what is the value of y when x = 3?

Back

When x = 3, y = 5(3) = 15.

Front

What does it mean if an equation does not represent a proportional relationship?

Back

It means that the relationship between the variables does not maintain a constant ratio.