Proportional and NonproportionalRelationships

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 a nonproportional relationship?

Back

A nonproportional relationship is a relationship between two quantities where the ratio is not constant.

Front

Write the slope-intercept form of a linear equation.

Back

The slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept represents the value of the dependent variable when the independent variable is zero.

Front

How do you determine if a relationship is proportional from a table of values?

Back

A relationship is proportional if the ratio of the dependent variable to the independent variable is constant for all pairs of values.

Front

If a bike rents for $4 plus $1.50 per hour, what is the equation in slope-intercept form?

Back

y = 1.50x + 4

Front

If there is a $20 startup fee and a $5 monthly fee for an online community, what is the equation in slope-intercept form?

Back

y = 5x + 20

Front

What does the ordered pair (20, 3000) represent in a real-world context?

Back

It represents that a machine folds 3,000 sheets in 20 minutes.

Front

If chocolate chip cookies cost $3.00 each plus $2 for boxing, what is the expression for the total cost?

Back

3x + 2