Q&A Hero

Q: Complete the table and use the result to estimate the limit. x f(x)A) 0.142857B) 0.642857C) 0.517857D) 0.767857E) -0.232143

Q: A manufacturer charges $70 per unit for units that cost $60 to produce. To encourage large orders from distributors, the manufacturer will reduce the price by $0.02 per unit for each unit in excess of 100 units. (For example, an order of 101 units would have a price of $69.98 per unit, and an order of 102 units would have a price of $69.96 per unit.) This price reduction is discontinued when the price per unit drops to $64. Express the price per unit as a function of the order size. A) B) C) D) E)

Q: The inventor of a new game believes that the variable cost for producing the game is $0.97 per unit. The fixed cost is $5000. Find a formula for the average cost per unit . A) B) C) D) E)

Q: Use the graph of below to sketch the graph of the following function: A)B)C)D)E)

Q: Use the graph of to sketch y = .A)B)C)D)E)

Q: Use the Horizontal Line Test to determine whether the functions are one-to-one. A) f(x) and g(x) both are one-to-one.B) f(x) is not one-to-one and g(x) is one-to-one.C) f(x) and g(x) both are not one-to-one.D) f(x) is one-to-one and g(x) is not one-to-one.

Q: Given and , evaluate A) 1B) 4C) -60D) 37E) 16

Q: Given and , find A) B) C) D) E)

Q: Use the Vertical Line Test to determine which of the following graphs shows y as a function of x.A)B)C)D)E)

Q: Simplify the expression using the given function definition. A) -8B) -12C) -13D) -16E) undefined

Q: If find. A) B) C) D) E)

Q: Evaluate (if possible) the function at the given value of the independent variable. Simplify the results. A) 15B) 3C) 5D) -7E) undefined

Q: Determine the range of the function . A) B) []C) D) ]E)

Q: Determine the range of the function .A) [B) C) D) E)

Q: Determine whether y is a function of x. A) YesB) No

Q: Determine whether y is a function of x. A) YesB) No

Q: If is y a function of x?A) YesB) No

Q: If , is y a function of x?A) YesB) No

Q: A small business purchases a piece of equipment for $1030. After 10 years, the equipment will be outdated, having no value. Write a linear equation giving the value V of the equipment in terms of time t in years, A) V = -103t - 1030B) V = 103t + 1030C) V = 103t - 1030D) V = -103t + 1030E) V = -103t + 103

Q: In 2004, a product has a value of $2875. Over the next five years, its value will increase by $150 per year. Write a linear equation that gives the dollar value V in terms of the year t. (Let t = 0 represent 2000.) A) V = 150t + 2875 B) V = 150t 2875 C) V = 150t + 2275 D) V = 150t + 3475 E) V = 150t 2275

Q: Suppose the resident population of South Carolina (in thousands) was 4020 in 2000 and 4257 in 2007. Assume that the relationship between the populationand the year is linear. Let represent 2000. Estimate the population in 2004 by using linear model for the given data. Round your answer to the nearest thousand residents. A) 4336 thousand residents B) 3885 thousand residents C) 4122 thousand residents D) 4155 thousand residents E) 4392 thousand residents

Q: Find a linear equation that expresses the relationship between the temperature in degrees Celsius and degrees Fahrenheit. Use the fact that water freezes at () and boils at (). Use the equation to convert to Celsius. A) B) C) D) E)

Q: Write an equation of the line that passes through the point (i) parallel to the given line, and (ii) perpendicular to the given line. A) (i) parallel: x = 3 (ii) perpendicular: y = -6B) (i) parallel: y = -6 (ii) perpendicular: x = 3C) (i) parallel: x = -6 (ii) perpendicular: y = 3D) (i) parallel: x = -3 (ii) perpendicular: y = 6E) (i) parallel: y = 6 (ii) perpendicular: x = 3

Q: Write an equation of the line that passes through the point (i) parallel to the given line, and (ii) perpendicular to the given line. A) (i) parallel: (ii) perpendicular: B) (i) parallel: (ii) perpendicular: C) (i) parallel: (ii) perpendicular: D) (i) parallel: (ii) perpendicular: E) (i) parallel: (ii) perpendicular:

Q: Write the equation of the line through that is perpendicular to A) B) C) D) E)

Q: Write the equation of the line through that is parallel to A) B) C) D) E)

Q: True or False: These three points are collinear.(1, 3), (0, 2), ("2, 1)A) TrueB) False

Q: Write the equation of the line that passes through the given point and has the slope indicated. with slope A) B) C) D) E)

Q: Write the equation and graph the line that passes through the given point and has the slope indicated. with 0 slope A) B) C) D) E)

Q: Find an equation of the line that passes through the point ("6,12) and has the slope m that is undefined.A) y = -6B) x = -6C) y = 12D) x = 12E) y = -6x

Q: Find an equation of the line that passes through the points and . A) B) C) D) E)

Q: Write the equation of the line passing through the given pair of points. and A) B) C) D) E)

Q: Write the equation of the line passing through the given pair of points. and A) B) C) D) E)

Q: Find the slope m and y-intercept b of the line whose equation is given below. A) B) C) D) E) Both m and b are undefined.

Q: Find the slope m and y-intercept b of the line whose equation is given below. A) B) C) D) E) Both m and b are undefined.

Q: Find the slope m and y-intercept b of the line whose equation is given below. A) B) C) D) E)

Q: Find the slope m and y-intercept b of the line whose equation is given below. A) B) C) D) E)

Q: Use the point on a line having slope to find two additional points through which the line passes. A) B) C) D) E)

Q: Find the slope of the line passing through the given pair of points.and A) B) 1C) -11D) E) The slope is undefined.

Q: Find the slope of the line passing through the given pair of points.and A) -18B) C) 3D) E) The slope is undefined.

Q: Find the slope of the line passing through the given pair of points.and A) -8B) C) -7D) 0E) The slope is undefined.

Q: Find the slope of the line passing through the pair of points. A) B) - C) D) - E) None of the above

Q: Estimate the slope of the line from the graph. A) B) 6 C) D) "6 E) None of the above

Q: Estimate the slope of the line from the graph. A) B) 2 C) 5 D) E)

Q: Find the equilibrium point for the following supply and demand functions below, where p is price per unit and q is the number of units produced and sold. Demand: Supply: A) B) C) D) E)

Q: Find the market equilibrium point for the following demand and supply functions below, where p is price per unit and q is the number of units produced and sold. Demand: Supply: A) B) C) D) E)

Q: A small business recaps and sells tires. The business has a revenue function and a cost function , where x represents the number of sets of four tires recapped and sold. Find the number of sets of recaps that must be sold to break even. A) 100 B) 500 C) 35 D) 700 E) 80

Q: A manufacturer of DVD players has monthly fixed costs of $8600 and variable costs of $75 per unit for one particular model. For this model DVD player, find the function for monthly total costs where x denotes the number of units produced and sold.. A) B) C) D) E)

Q: Find the points of intersection (if any) of the graphs of the equations and . A) B) C) D) E)

Q: Write the general form of the equation of the circle with endpoints of a diameter at and . A) B) C) D) E)

Q: Write the general form of the equation of the circle with center and solution point . A) B) C) D) E)

Q: Sketch the graph of the equation: x = 3 " y2. A) B) C) D) E)

Q: Sketch the graph of the function A)B)C)D)E)

Q: Find the x- and y- intercepts of the graph of the equation . A) x-intercept: ; y-intercept: B) x-intercepts: , ; y-intercepts: , C) x-intercept: ; y-intercept: D) x-intercepts: , ; y-intercepts: , E) x-intercept: ; y-intercept:

Q: Find the x- and y- intercepts of the graph of the equation . A) x-intercepts: , ; y-intercepts: B) x-intercepts: , ; y-intercepts: C) x-intercepts: , ; y-intercepts: , D) x-intercepts: , ; y-intercepts: , E) x-intercept: ; y-intercept:

Q: Which of the following is the correct graph of y = x - x3?A)B)C)D)E)

Q: Sketch the graph of the equation. A) B) C) D) E) None of the above

Q: Which of the following is the correct graph of the given equation? A) B) C) D) E)

Q: Which of the following is the correct graph of y = 2x - x2?A)B)C)D)E)

Q: Which of the following is the correct graph of ? A) B) C) D) E)

Q: The red figure is translated to a new position in the plane to form the blue figure. Find the vertices of the transformed figure from the following graph. (In case your exam is printed in black and white - the red figure has one vertex at (0,0)). A) B) C) D) E)

Q: Use the Midpoint Formula repeatedly to find the three points that divide the segment joining and into four equal parts. A) B) C) D) E)

Q: Assume that the median sales prices of existing one family homes sold (in thousands of dollars) in the United States from 1990 through 2005 are as given in the following figure. Use the following figure to estimate the percent increase in the value of existing one-family homes from 1997 to 1998. A) 0.021%B) 0.058%C) 2.06%D) 55.5%E) 5.8%

Q: Assume that the number (in millions) of cellular telephone subscribers in the United States from 1996 through 2005 is given in the following table. Use a graphing utility to graph a line plot of the given data. Describe any trends that appear within the last four years.Year 1996199719981999200020012002200320042005Subscribers200.5195.1192.918514712610376.765.957.3A)The number of subscribers appears to be decreasing.B)The number of subscribers appears to be increasing.C)The number of subscribers appears to be constant.D)The number of subscribers appears to be decreasing.E)The number of subscribers appears to be increasing linearly.

Q: Assume that the number (in millions) of basic cable television subscribers in the United States from 1996 through 2005 is given in the following table. Use a graphing utility to graph a scatter plot of the given data. Describe any trends that appear within the last four years.Year 1996199719981999200020012002200320042005Subscribers62.363.664.765.566.366.766.56665.765.3A)The number of subscribers appears to be increasing.B)The number of subscribers appears to be decreasing.C)The number of subscribers appears to be linearly decreasing.D)The number of subscribers appears to be decreasing.E)The number of subscribers appears to be linearly increasing.

Q: Findsuch that the distance between the points and is 10. A) 13 or"13 B) "3 or3 C) 13 or"3 D) "11 or11 E) 15 or"15

Q: Find the length of each side of the right triangle from the following figure. A) a 15, b 8, c17B) a 8, b15, c17C) a 17, b"8, c15D) a15, b8, c"17E) a15, b15, c17

Q: Find the midpoint of the line segment joining the points and . Round your answer to the nearest hundredth. A) B) C) D) E) none of these choices

Q: Find the distance between the points and . Round your answer to the nearest hundredth. A) 25.00 B) 2.65 C) 5.00 D) 14.87 E) 4.58

Q: Plot the points in the Cartesian plane.A)B)C)D)E)

Q: Table 18-7Taxable IncomeTax Payments$10,000$1,00012,0001,24016,0001,78022,0002,740Table 18-7 shows the amount of taxes paid on various levels of income.Refer to Table 18-7. The tax system isA) progressive throughout all levels of income.B) proportional throughout all levels of income.C) regressive throughout all levels of income.D) progressive between $10,000 and $12,000 of income and regressive between $16,000 and $22,000.

Q: In the United States, taxpayers are allowed to exclude from taxation a certain amount of income, called A) the personal income exclusion. B) the income allowance. C) the income tax credit. D) the personal exemption.

Q: A proportional tax is a tax for which people with lower incomes A) pay a higher percentage of their incomes in tax than do people with higher incomes. B) pay a lower percentage of their incomes in tax than do people with higher incomes. C) pay the same percentage of their incomes in tax as do people with higher incomes. D) pay the same amount of taxes as people with higher incomes pay.

Q: Which of the following is an example of a federal mandate? A) an excise tax B) the Medicaid program C) the personal tax exemption D) the Food and Drug Administration (FDA)

Q: In reference to the federal income tax system, a tax bracket is A) the estimated amount of federal income tax firms withhold from their employees' paychecks. B) the formula the federal government uses to determine the dollar amount of the personal exemption and the amounts taxpayers are allowed for deductions from their incomes. C) used to determine the average tax rate. D) the income range within which a tax rate applies.

Q: Since lower-income people spend a larger proportion of their incomes on groceries than do higher-income people, if grocery stores were required by law to charge a 10-cent fee for disposable bags, this fee could be considered a A) proportional tax. B) progressive tax. C) regressive tax. D) income tax.

Q: A regressive tax is a tax for which people with lower incomes A) pay a lower percentage of their incomes in tax than do people with higher incomes. B) pay a higher percentage of their incomes in tax than do people with higher incomes. C) pay the same percentage of their incomes in tax as do people with higher incomes. D) do not have to pay unless their incomes exceeds a certain amount.

Q: The largest source of tax revenue for state and local governments in the United States in 2012 was A) sales taxes. B) the corporate income tax. C) the property tax. D) the individual income tax.

Q: The term "payroll taxes" is often used to refer to A) individual income taxes that are withheld from paychecks. B) corporate income taxes. C) Social Security and Medicare taxes. D) sales taxes.

Q: In the United States, over the past 40 years federal revenues as a share of gross domestic product have A) risen steadily and now are about 40 percent. B) ranged between 17 and 19 percent. C) fallen below 10 because of rapid economic growth. D) been limited by law to no more than 20 percent.