6.6C- Represent Situations

Front

What does the equation y = 74x represent in a real-world context?

Back

It represents a situation where a company uses a total of y gallons of water at a rate of 74 gallons per hour for x hours.

Front

How can you represent a linear relationship between two variables?

Back

A linear relationship can be represented using an equation of the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the meaning of the slope 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 table of values represents a specific linear relationship?

Back

You can determine this by checking if the differences between the dependent variable values correspond to the differences in the independent variable values according to the relationship.

Front

What is the equation for a relationship where r is 10.1 more than q?

Back

The equation is r = q + 10.1.

Front

What is the significance of a linear equation in application-based problems?

Back

Linear equations help model real-world situations where there is a constant rate of change between two variables.

Front

How can you graph a linear equation?

Back

You can graph a linear equation by plotting points that satisfy the equation and then connecting them to form a straight line.

Front

What is the difference between dependent and independent variables?

Back

The independent variable is the one that is manipulated or changed, while the dependent variable is the one that is measured or affected.

Front

What does it mean for a relationship to be linear?

Back

A linear relationship means that the change in one variable is proportional to the change in another variable, resulting in a straight line when graphed.