DCP 2 Review

Front

What is the break-even point in sales?

Back

The break-even point is the number of units that must be sold for total revenue to equal total costs, resulting in zero profit.

Front

How do you calculate the break-even point in units?

Back

Break-even point (units) = Fixed Costs / (Selling Price per Unit - Variable Cost per Unit).

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a linear function represent?

Back

The slope represents the rate of change of the function; it indicates how much y changes for a unit change in x.

Front

What is the y-intercept in a linear equation?

Back

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

Front

How do you determine the equation of a line from a graph?

Back

Identify two points on the line, calculate the slope using the formula (y2 - y1) / (x2 - x1), and use the point-slope form to write the equation.

Front

What is the point-slope form of a linear equation?

Back

The point-slope form is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

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

Back

The coefficients determine the slope and the y-intercept, affecting the steepness and position of the line on the graph.

Front

How can you verify if a point lies on a linear graph?

Back

Substitute the x-coordinate of the point into the equation of the line; if the resulting y-value matches the y-coordinate of the point, it lies on the graph.

Front

What is the relationship between parallel lines in terms of slope?

Back

Parallel lines have the same slope but different y-intercepts; they never intersect.