AnswersLVA- Mathematical Modeling - FallSolving Quadratic Equations

Solving Quadratic Equations — Cumulative exam Answers

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Translate the sentence into an equation using n to represent the unknown number. Then solve the equation for n. the quotient of a number divided by 11 is 0.5 a. b. c. d. Please select the best answer from the choices provided

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You are considering taking some courses at your local community college on a part-time basis for the upcoming school year. For a student who carries fewer than twelve credits (the full-time minimum), the tuition is $155 for each credit hour taken. All students, part-time or full-time, must pay a $20 parking fee for the semester. This fixed fee is added directly to your tuition and is included in your total bill. Write an equation to determine the total bill , t, for a student carrying fewer than twelve credit hours. Use n to represent the number of hours taken for the semester. Then, determine the total bill if you take nine credit hours. a. ; $1395 b. ; $1395 c. ; $1415 d. ; $1415 Please select the best answer from the choices provided

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Each of the following tables defines a relationship between an input x and an output y. Which of the relationships represent functions?Table Ax-8-306y244972Table Bx9152438y-14-165329Table Cx152424100y-1653297Table Dx-8606y244972a.Table A and Table Cb.Table A and Table Bc.Table B and Table Cd.Table C and Table D

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Mary’s yard is a mess. She needs to hire someone to prune her trees and shrubs. A landscaping service she calls quotes her a price of $15 consultation fee plus $8 an hour for the actual work. Mary’s neighbor has offered to help her out. She doesn’t charge a consultation fee, but does charge $10 an hour for her work. Who do you think Mary should hire for a 3-hour job? When, if at all, would it be more economical to hire the other service. (Set up and solve a system of equations to answer this question.)a.Mary should hire her neighbor; if there was more than 7.5 hours of work she should hire the landscaping service.b.Mary should hire her neighbor; if there was more than 4.2 hours of work she should hire the landscaping service.c.Mary should hire the landscaping service; if there was more than 7.5 hours of work she should hire her neighbor.d.Mary should hire the landscaping service; if there was more than 4.2 hours of work she should hire her neighbor.

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If you work for an hourly wage, your gross pay is a function of the number of hours that you work. Your hourly wage is $9 per hour. Let n represent the number of hours worked and f(n) represent the gross pay. Write an equation for f(n) in terms of n. Then, evaluate f(10) and write a sentence explaining the meaning of f(10). a. ; The gross pay for 9 hours worked is $81. b. ; The gross pay for 10 hours worked is $90. c. ; The gross pay for 9 hours worked is $81. d. ; The gross pay for 10 hours worked is $90. Please select the best answer from the choices provided

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Determine whether a scatter plot of the data for the following situation might show a positive, negative, or no relationship. Explain your answer.birth month and birth weighta.no relationship; a person’s birth weight is not affected by birth month.b.no relationship; a person’s birth weight increases as the year progresses.c.positive relationship; a person’s birth weight increases as the year progresses.d.negative relationship; a person’s birth weight decreases as the year progresses.

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Dave receives a salary of $200 a week plus a commission of 10% of his weekly sales. An equation represents Dave’s weekly earnings. The y-intercept is Dave’s base salary. The slope of the line is his commission. Write an equation representing Dave’s weekly earnings. If Dave sells $1500 of goods for one week, what is his salary for the week? a. $13,000 b. $350 c. $1520 d. $130 Please select the best answer from the choices provided

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These data tables show sales of the Earn a Million-a-Day At Home video. Read the table, and then examine the graphs below. Week 1 2 3 4 5 Sales 252 246 265 276 280 Graph A Graph B Suppose you were a sales representative for the video and wanted to convince stores to stock more copies. Which graph would you use? Why? a. Graph B, because it indicates a more marked increase in sales. b. Graph A, because it indicates how many viewers had better results with the video. c. Graph A, because it indicates a more marked increase in sales. d. Graph B, because it indicates how many viewers earned a million. Please select the best answer from the choices provided

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Solve the quadratic equation by using either a numeric or a graphic approach. a. x = -11.1 or x = -12 c. x = 16.9 or x = -2.9 b. x = 12.3 or x = -10.82 d. x = 1 or x = -3 Please select the best answer from the choices provided

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The table below shows the population and the number of representatives in Congress for the selected states. State CA NY TX FL NC IN AL Population (in millions) 29.8 18.0 17.0 12.9 6.6 5.5 4.0 Representatives 52 31 30 23 12 10 7 If you were to make a scatter plot of the data, you would be able to determine the line of best fit. Using the regression equation , predict the number of representatives for Oregon, which has a population of about 3.3 million. a. 5 representatives b. 6 representatives c. 7 representatives d. 28 representatives Please select the best answer from the choices provided

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In a year-long music course, you are required to attend 12 concerts. Last season, the lengths of the concerts were 92, 101, 98, 112, 80, 119, 92, 90, 116, 106, 78, and 65 minutes. Find the five-number summary for the data. Which boxplot would best represent the data? a. b. c. d. Please select the best answer from the choices provided

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Solve the quadratic equation by using either a numeric or a graphic approach. a. x = -1.1 or x = -2 c. x = 2 or x = -5 b. x = 2.3 or x = -0.82 d. x = 1 or x = -3 Please select the best answer from the choices provided

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In the following situation, determine whether you are asked to determine the number of permutations or combinations. Then do the calculation. How many ways are there to pick a starting five from a basketball team of twelve members? a. Permutation; b. Combination; c. Combination; d. Permutation; Please select the best answer from the choices provided

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Complete the following table using the equation: x -2 -1 0 1 2 y Plot the points on a graph and determine which graph best represents the equation. Graph A Graph B a. 8, 2, 0, 2, 8; Graph A b. -8, -2, 0, -2, -8; Graph A c. 8, 2, 0, 2, 8; Graph B d. -8, -2, 0, -2, -8; Graph B Please select the best answer from the choices provided

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Identify the slope and y-intercept of the line whose equation is given. Write the y-intercept as an ordered pair. (Remember the slope-intercept form is ) a. slope = ; y-intercept (0, ) b. slope = ; y-intercept (0, ) c. slope = ; y-intercept (0, ) d. slope = ; y-intercept (0, ) Please select the best answer from the choices provided

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The Air Quality Index, or AQI, measures how polluted the air is in your city and assigns a number based on the quality of the air. Over 100 is “Unhealthy”. The number of days the AQI exceeds 100 in a given year is modeled by the following quadratic regression equation: Let n represent the number of days the AQI exceeds 100 in a given year. Approximately how many days did the AQI exceed 100 in the year 1988? Round to the nearest whole day. (Let t represent the number of years since 1990. Therefore, t = 0 corresponds to the year 1990.) a. 60 days b. 75 days c. 61 days d. 21 days Please select the best answer from the choices provided

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The value of almost everything you own (assets), such as a car, computer, or house, depreciates (goes down) over time. When an asset’s value decreases by a fixed amount each year, the depreciation is called straight-line depreciation. Suppose your truck has an initial value of $12,400 and depreciates $820 per year. Number of Years 1 2 3 4 5 Value of the Truck 11,580 10,760 9,940 9,120 8,300 Write an equation that illustrates this function if you plan to keep the truck for 7 years and determine the value of the truck at the end of this period. Let v represent the dependent variable and let t represent the independent variable. a. ; $6660 b. ; $5840 c. ; $6660 d. ; $7480 Please select the best answer from the choices provided

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Maria, Keisha, Jo, and Leah wear jerseys numbered 5, 8, 13, and 36, but not necessarily in that order. The girl wearing 8 has a better jumpshot than Maria or Leah. Jo’s jersey number is divisible by 6. The number of letters in one name is the same as her number. What number does each wear? (Make a table to help organize your information)a.Maria - 5, Keisha - 8, Leah - 13, Jo - 36b.Maria - 5, Leah - 8, Keisha - 13, Jo - 36c.Jo - 5, Maria - 8, Leah - 13, Keisha - 36d.Keisha - 5, Jo - 8, Maria - 13, Leah - 36

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You are president of the high school band booster club. You have arranged for the school’s jazz band to perform at a local coffee shop for three hours. In exchange for the performance, the booster club will receive three-quarters of the shop’s gross receipts during that three-hour period. The equation relates the x (the independent variable representing the gross receipts) and y (the dependent variable representing the booster’s share).Using the graph below determine the booster’s share if the total gross receipts were $700. a. $933 b. $900 c. $525 d. $950 Please select the best answer from the choices provided

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State which of the following sets of ordered pairs represent a function.Set A: (5, 2), (4, 3), (3, 4), (2, 5)Set B: (-1, -6), (0, 2), (1, 2), (3, 6)Set C: (2, 1), (4, 2), (2, 3), (8, 4)a.Set Cb.Set Bc.Set Ad.Set A and Set B

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