Constant of Proportionality Review

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor that relates two proportional quantities, often represented as 'k' in the equation y = kx.

Front

In the equation y = 4.3x, what does the number 4.3 represent?

Back

The number 4.3 represents the cost in dollars for 1 pound of apples.

Front

How do you determine if a relationship is proportional?

Back

A relationship is proportional if the ratio of the two quantities is constant.

Front

What is the equation of a proportional relationship if the constant of proportionality is 8?

Back

The equation is y = 8x.

Front

What does a proportional relationship look like in a table?

Back

In a table, a proportional relationship will show that as one quantity increases, the other quantity increases at a constant rate.

Front

If y = 8x, what is the value of y when x = 5?

Back

When x = 5, y = 8 * 5 = 40.

Front

What is the significance of the slope in a proportional relationship?

Back

The slope represents the constant of proportionality, indicating how much y changes for a unit change in x.

Front

Can a proportional relationship be represented by a graph? If so, how?

Back

Yes, a proportional relationship can be represented by a straight line that passes through the origin (0,0) on a graph.

Front

What is the relationship between the constant of proportionality and the unit rate?

Back

The constant of proportionality is equivalent to the unit rate, which describes how much of one quantity corresponds to one unit of another quantity.

Front

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

Back

You can identify a proportional relationship by checking if the ratios of corresponding values are equal.