Identifying the Point of Intersection

Front

What is the point of intersection in a graph?

Back

The point of intersection is where two lines or curves meet on a graph, representing the solution to a system of equations.

Front

How do you find the breakeven point in a business scenario?

Back

The breakeven point is found by determining when total costs equal total revenue, often calculated using the formula: Fixed Costs / (Price per Unit - Variable Cost per Unit).

Front

What is the formula for calculating total cost in a business?

Back

Total Cost = Fixed Costs + (Variable Cost per Unit * Number of Units Sold).

Front

What does it mean to graph a linear equation?

Back

Graphing a linear equation involves plotting points that satisfy the equation on a coordinate plane, resulting in a straight line.

Front

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

Back

The slope indicates the rate of change of the dependent variable with respect to the independent variable, showing how steep the line is.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables, which can be solved to find the values of those variables.

Front

How do you determine if a system of equations has no solution?

Back

A system has no solution if the lines represented by the equations are parallel, meaning they never intersect.

Front

What is the meaning of a solution in the context of a system of equations?

Back

A solution is the set of values for the variables that makes all equations in the system true, often represented as a point of intersection.

Front

What is the formula for income in a business scenario?

Back

Income = Price per Unit * Number of Units Sold.

Front

How do you write an equation for total income?

Back

To write an equation for total income, multiply the price charged per unit by the number of units sold: Income (y) = Price (p) * Quantity (x).