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Front

What is the constant of proportionality in a proportional relationship?

Back

The constant of proportionality (k) is the ratio of y to x in a proportional relationship, represented as k = y/x.

Front

How do you calculate the cost per pound of a product?

Back

To calculate the cost per pound, divide the total cost of the product by its weight in pounds.

Front

What is the formula to find the constant of proportionality from a graph?

Back

The constant of proportionality can be found by taking any point (x, y) on the line and calculating k = y/x.

Front

What characteristics define a proportional graph?

Back

A proportional graph is characterized by a straight line that passes through the origin (0,0).

Front

What does it mean if a graph is not proportional?

Back

If a graph is not proportional, it does not form a straight line through the origin, indicating a non-constant ratio between y and x.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) represents the starting point of a proportional relationship, where both variables are zero.

Front

How can you determine which product has the lowest cost per unit?

Back

Compare the cost per pound of each product by calculating the cost per pound for each size and identifying the lowest value.

Front

What is the relationship between the slope of a line and the constant of proportionality?

Back

In a proportional graph, the slope of the line represents the constant of proportionality (k).

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the constant of proportionality expressed as a ratio of y to 1 unit of x.

Front

How do you identify a proportional relationship from a set of data points?

Back

A proportional relationship can be identified if the ratio of y to x is constant for all data points.