Exam 8: The Slope of a Line

Let Evaluate

Let f ( x ) = 3 x - 7. Evaluate f (2). f (2) = __________

Find the equation of the line that passes through the pair of points (5, 6) and (- 3, - 2). Write your answer in standard form.

To produce this textbook, suppose the publisher spent $165,000 for typesetting and $8.50 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 = If the average cost is the total cost divided by the number of books printed, find the average cost of producing 10,000 textbooks.

The weight of a certain material varies directly with the surface area of that material. If 16 square feet weighs half a pound, how much will 30 square feet weigh?

Let and . Find .

Given f ( x ) = x ² - 7 x - 18 and g ( x ) = x - 4, find the following. ( f + g ) ( 0 )

For the function find the value of x for which x = __________

Find the equation of the line parallel to the graph of 4 x - y = 5 that contains the point (- 3, 1).

Straight-line depreciation is an accounting method used to help spread the cost of new equipment over a number of years. It takes into account both the cost when new and the salvage value, which is the value of the equipment at the time it gets replaced. The function where V is value and t is time in years, can be used to find the value of a large copy machine during the first 4 years of use. After how many years will the copier be worth only $7,000? Round your answer to the nearest hundredth. __________ years

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: Find the following functions. a. the product of the number of tapes sold each day and the selling price of each tape. b. the sum of the fixed costs and the variable costs. c. the difference between revenue and cost. d. the quotient of cost and the number of tapes sold each day.

The volume of a gas is inversely proportional to the pressure. If a pressure of 77 pounds per square inch corresponds to a volume of 45 cubic feet, what pressure is needed to produce a volume of 315 cubic feet? __________ pounds per square inch

For the function find the value of x for which

Let Evaluate __________

Let Evaluate

Find the slope of the line from the graph.

Find the equation of the line that passes through the pair of points (1, 7) and (- 8, - 2). Write your answer in standard form.

Hali is tossing a quarter into the air with an underhand motion. The distance the quarter is above her hand at any time is given by the function where h is the height of the quarter in feet, and t is the time in seconds. Fill in the table.

Find the equation of the line parallel to the graph of 7 x - y = 9 that contains the point (- 1, 5).

Let f ( x ) = 10 x + 6 and g ( x ) = x 2 - 1. Find the value.