Unit 4 Review

Front

What is a linear function?

Back

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the function. It indicates how much the y-value changes for a unit change in the x-value.

Front

What is the y-intercept of a function?

Back

Front

How do you find the break-even point in a cost-revenue graph?

Back

The break-even point is found where the cost and revenue lines intersect on a graph. This point indicates the number of units sold where total revenue equals total cost.

Front

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

Back

The total cost can be calculated using the formula: Total Cost = Fixed Costs + (Variable Cost per Unit * Number of Units Sold).

Front

How do you set up a system of equations from a word problem?

Back

To set up a system of equations, identify the variables, translate the relationships described in the problem into equations, and ensure you have as many equations as variables.

Front

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

Back

Front

How do you determine the number of solutions in a system of equations?

Back

The number of solutions in a system of equations can be determined by graphing the equations. If the lines intersect at one point, there is one solution; if they are parallel, there are no solutions; if they coincide, there are infinitely many solutions.

Front

What is the purpose of graphing a linear function?

Back

Graphing a linear function helps visualize the relationship between variables, making it easier to identify key features such as slope, intercepts, and points of intersection.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1. This means that one line rises while the other falls at a right angle.