Representing 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 in the equation y = kx.

Front

How do you identify the constant of proportionality in the equation y = 3x?

Back

The constant of proportionality is 3.

Front

What equation represents Maria's earnings if she makes $15 per hour?

Back

y = 15x, where y is the total earnings and x is the number of hours worked.

Front

If y = 0.5x, what is the constant of proportionality?

Back

The constant of proportionality is 0.5.

Front

How can you find the cost of 4 pounds of bananas if the cost is proportional?

Back

If the cost per pound is constant, multiply the cost per pound by 4 to find the total cost.

Front

What does the graph of a proportional relationship look like?

Back

The graph of a proportional relationship is a straight line that passes through the origin (0,0).

Front

If the constant of proportionality is K=1/2, what does this mean?

Back

This means that for every 1 unit increase in x, y increases by 0.5 units.

Front

What is the formula for finding the constant of proportionality from a table of values?

Back

K = y/x for any pair of corresponding values (x, y) in the table.

Front

How do you determine if a relationship is proportional from a set of data points?

Back

Check if the ratio of y to x is constant for all pairs of data points.