Represent Proportionality

Front

What does the equation y = kx represent in terms of proportionality?

Back

It represents a direct variation where y is directly proportional to x, with k being the constant of proportionality.

Front

How can you determine if a relationship is proportional from a graph?

Back

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

Front

What is the constant of proportionality in the equation y = 3x?

Back

The constant of proportionality is 3.

Front

If Matt saved $30 more than Mariposa, how can you express this relationship mathematically?

Back

If Mariposa saved m dollars, then Matt saved m + 30 dollars.

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio to each other.

Front

How do you identify a non-proportional relationship from a table of values?

Back

A non-proportional relationship will show varying ratios between the x and y values, meaning they do not maintain a constant ratio.

Front

What is the equation that models the cost of potato salad by its weight if the cost is $3.50 per pound?

Back

The equation is c = 3.5p, where c is the cost and p is the weight in pounds.

Front

What does it mean if a graph represents a proportional relationship?

Back

It means that as one quantity increases, the other quantity increases at a constant rate, maintaining a consistent ratio.

Front

Can a relationship be proportional if it does not pass through the origin?

Back

No, a relationship must pass through the origin to be considered proportional.

Front

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

Back

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