Exam 8: The Slope of a Line

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A company manufactures and sells prerecorded videotapes. Here are the equations they use in connection with their business. Number of tapes sold each day: A company manufactures and sells prerecorded videotapes. Here are the equations they use in connection with their business. Number of tapes sold each day:   Selling price for each tape:   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. Selling price for each tape: A company manufactures and sells prerecorded videotapes. Here are the equations they use in connection with their business. Number of tapes sold each day:   Selling price for each tape:   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. Daily fixed costs: A company manufactures and sells prerecorded videotapes. Here are the equations they use in connection with their business. Number of tapes sold each day:   Selling price for each tape:   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. Daily variable costs: A company manufactures and sells prerecorded videotapes. Here are the equations they use in connection with their business. Number of tapes sold each day:   Selling price for each tape:   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. Find the following functions. a. A company manufactures and sells prerecorded videotapes. Here are the equations they use in connection with their business. Number of tapes sold each day:   Selling price for each tape:   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 product of the number of tapes sold each day and the selling price of each tape. b. A company manufactures and sells prerecorded videotapes. Here are the equations they use in connection with their business. Number of tapes sold each day:   Selling price for each tape:   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 sum of the fixed costs and the variable costs. c. A company manufactures and sells prerecorded videotapes. Here are the equations they use in connection with their business. Number of tapes sold each day:   Selling price for each tape:   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 difference between revenue and cost. d. A company manufactures and sells prerecorded videotapes. Here are the equations they use in connection with their business. Number of tapes sold each day:   Selling price for each tape:   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 quotient of cost and the number of tapes sold each day.

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Line l contains the points (6, 2) and (- 6, 1). Give the slope of any line perpendicular to l .

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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 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. What is the value of the copier after 1 years and 6 months?   $__________ 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. What is the value of the copier after 1 years and 6 months? 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. What is the value of the copier after 1 years and 6 months?   $__________ $__________

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Let Let   Evaluate     __________ Evaluate Let   Evaluate     __________ Let   Evaluate     __________ __________

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

(Multiple Choice)
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Given f ( x )= x 2 - 5 x - 6 and g ( x ) = x - 7, find the following. ( f - g ) ( 4 )

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State whether the following graph represents a function. State whether the following graph represents a function.   The graph __________. The graph __________.

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Let Let   and   . Find the composition   . and Let   and   . Find the composition   . . Find the composition Let   and   . Find the composition   . .

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A ball is thrown straight up into the air from ground level. The relationship between the height h of the ball at any time t is illustrated by the following graph: A ball is thrown straight up into the air from ground level. The relationship between the height h of the ball at any time t is illustrated by the following graph:   The horizontal axis represents time t , and the vertical axis represents height h . State the domain and the range. The horizontal axis represents time t , and the vertical axis represents height h . State the domain and the range.

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Let Let   and   Evaluate  and Let   and   Evaluate  Evaluate Let   and   Evaluate

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Let Let   Evaluate     __________ Evaluate Let   Evaluate     __________ Let   Evaluate     __________ __________

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Let Let   Evaluate  Evaluate Let   Evaluate

(Multiple Choice)
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Does the graph represent a function? Does the graph represent a function?

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Line l is perpendicular to the graph of the equation - 2 x - 5 y = 4 and contains the point (9, - 7). Find the equation for l .

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The following graph shows the relationship between a company s profits P and the number of items it sells x . ( P is in dollars.) How many items must the company sell to make their maximum profit? The following graph shows the relationship between a company s profits P and the number of items it sells x . ( P is in dollars.) How many items must the company sell to make their maximum profit?   __________ items __________ items

(Short Answer)
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Let Let   and   Evaluate     __________ and Let   and   Evaluate     __________ Evaluate Let   and   Evaluate     __________ Let   and   Evaluate     __________ __________

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Write the equation of the line with the slope m = - 4 and y -intercept b = - 2.

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A musical tone's pitch varies inversely with its wavelength. If one tone has a pitch of 360 vibrations each second and a wavelength of 2.1 meters, find the wavelength of a tone that has a pitch of 670 vibrations each second. Please round your answer to the nearest hundredth. __________ meters

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Let f ( x ) = 10 x + 5 and g ( x ) = x 2 - 5. Find the value Let f ( x ) = 10 x + 5 and g ( x ) = x 2 - 5. Find the value   . .

(Multiple Choice)
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The slope of the line is The slope of the line is   and one point on a line is   . Find the equation of the line and write the answer in slope-intercept form. and one point on a line is The slope of the line is   and one point on a line is   . Find the equation of the line and write the answer in slope-intercept form. . Find the equation of the line and write the answer in slope-intercept form.

(Short Answer)
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