Proportional Relationships and Equations

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 is constant.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

What does the y-intercept represent in a graph?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.

Front

How do you identify a proportional relationship from a graph?

Back

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

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor (k) that relates two proportional quantities.

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Front

What does it mean if an equation does not go through the origin?

Back

If an equation does not go through the origin, it does not represent a proportional relationship.

Front

How can you find the cost of bowling for x games if the cost is $4 for shoe rental and $5 per game?

Back

The equation is y = 4 + 5x, where y is the total cost and x is the number of games.

Front

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

Back

The slope of a line in a proportional relationship is equal to the constant of proportionality.

Front

If a machine packages 60 boxes in 2 minutes, how many boxes does it package in 4 minutes?

Back

The machine packages 120 boxes in 4 minutes.