Multiple Representations EOL #4

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (upward or downward).

Front

What is the y-intercept in a linear equation?

Back

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

Front

How do you find the total cost of a service with a base fee and a variable cost?

Back

To find the total cost, add the base fee to the product of the variable cost per unit and the number of units. For example, Total Cost = Base Fee + (Variable Cost per Unit × Number of Units).

Front

What is a graph?

Back

A graph is a visual representation of data that shows the relationship between two or more variables. It can help identify trends and patterns.

Front

How can you determine the maximum profit from a service charge?

Back

To determine the maximum profit, calculate the total earnings based on the service charge and any additional costs, then find the maximum value within the constraints given.

Front

What does it mean for a graph to show a decreasing trend?

Back

A decreasing trend in a graph means that as one variable increases, the other variable decreases. This is often represented by a downward slope.

Front

What is the purpose of modeling relationships with equations?

Back

Modeling relationships with equations helps to predict outcomes, understand the relationship between variables, and solve real-world problems.

Front

What is the significance of the coefficients in a linear equation?

Back

The coefficients in a linear equation indicate the strength and direction of the relationship between the variables. The coefficient of x (slope) shows how much y changes for a unit change in x.

Front

How do you interpret the meaning of a point on a graph?

Back

Each point on a graph represents a specific pair of values for the variables being analyzed. The x-coordinate indicates the value of the independent variable, while the y-coordinate indicates the value of the dependent variable.