Exam 8: The Slope of a Line

To produce this textbook, suppose the publisher spent $125,000 for typesetting and $3.50 per book for printing and binding. The total cost to produce and print n books can be written as Total cost to produce n textbooks = Fixed cost + Variable cost = Suppose the number of books printed in the first printing is 10,000.What is the total cost? $__________ If the average cost is the total cost divided by the number of books printed, find the average cost of producing 10,000 textbooks. $__________ Find the cost to produce one more textbook when you have already produced 10,000 textbooks. $__________

The following graph shows the relationship between a company s profits P and the number of items it sells x . ( P is in dollars.) State the domain and the range of the function.

z varies jointly with x and the square of y . If z is 75 when x = 3 and y = 5, find x when z = 25 and y = 1.

The relative aperture or f -stop ( f ) for a camera lens is inversely proportional to the diameter of the aperture ( d ). An f -stop of 2 corresponds to an aperture diameter of 40 millimeters for the lens on an automatic camera. Find the equation that relates f -stop and diameter.

Find the slope of the line through the pair of points (1, 0) and (3, 3). Then, plot the points, draw a line through them, and indicate the rise and run on the graph.

The temperature of a gas varies directly with its pressure. A temperature of 720 K produces a pressure of 90 pounds per square inch. Find the equation that relates pressure ( P ) and temperature( T ).

Give the equation of the line perpendicular to the graph of that has an -intercept of .

Write the equation of the line with the slope m = 7 and y -intercept b = 9.

A company manufactures and sells diskettes for home computers. Here are the equations they use in connection with their business. Number of diskettes sold each day: Selling price for each diskette: Daily fixed costs: Daily variable costs: the difference between revenue and cost. the product of the number of diskettes sold each day and the selling price of each diskettes. the sum of the fixed costs and the variable costs. Find the profit function .

Graph the line that has an x -intercept of 4 and a y -intercept of 2. What is the slope of this line?

r is inversely proportional to s . If r is - 5 when s is 20, find r when s is 5.

Graph the following relation. Use the graph to find the domain and range, and indicate whether the graph is the graph of a function.

Find the slope of the line from the graph.

Give the slope and y -intercept of y = - 2. Sketch the graph.

Boyle's law states that for low pressures, the pressure of an ideal gas kept at a constant temperature varies inversely with the volume of the gas. State Boyle's law as an equation using the symbols P , K , and V .

The temperature of a gas varies directly with its pressure. A temperature of 360 K produces a pressure of 90 pounds per square inch. Find the equation that relates pressure and temperature.

Find the slope of the line from the graph.

Write the equation of the line with the slope and y -intercept

Let Evaluate

Graph the following relation. Use the graph to find the domain and range, and indicate whether the graph is the graph of a function.