Test wk 2 - Cumulative Test Wk 2...

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Unformatted text preview: Cumulative Test Wk 2 Name___________________________________ All work should be done on the Cumulative test template Questions 1 – 20 are worth 4 pts each for a complete solution. (TOTAL 80 pts) (Formulas, work, or detailed explanation required.) Question 21 – 24, worth 5 pts each for a complete solution, (TOTAL 20 pts) (Formulas, work required.) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the slope of the line passing through the given pair of points. 1) 5, 4) and ( 2, 2) ( 1) _______ A) D) B) C) 2 − 3 Write an equation for the line. Use slope-intercept form, if possible. 2) hrough ( 5, -6) and ( 0, -8) T 2) _______ C) A) B) D) 11 2 2 11 y=− x−8 y = − x−8 y = x−8 y = x − 8 8 8 5 5 Determine the equation of the line described. Put answer in the slope-intercept form, if possible. 3) hrough ( 1, 4), perpendicular to -6x - 7y = 22 T 7 17 6 6 7 17 1 22 A) B) C) D) y = x + y = x + y = − x + y =− x− 3) _______ 6 6 7 7 6 6 7 7 Write a cost function for the problem. Assume that the relationship is linear. 4) n electrician charges a fee of $ 50 plus $ 35 per hour. Let C(x) be the cost in dollars of using the A electrician for x hours. A) (x) = 50x -35 C B) (x) = 50x + 35 C C) (x) = 35x - 50 C D) (x) = 35x + 50 C Solve the problem. 5) shoe company will make a new type of shoe. The fixed cost for the production will be $24,000. A The variable cost will be $30 per pair of shoes. The shoes will sell for $110 for each pair. How many pairs of shoes will have to be sold for the company to break even on this new line of shoes? A) 19 pairs 2 B) 01 pairs 8 C) 0 pairs 8 D) 00 pairs 3 6) meteorologist in the Upper Peninsula of Michigan predicts an overnight low of ‐4º A Fahrenheit. What would a Canadian meteorologist predict for the same location in Celsius? A) 4° B) 2.2° C) 36° D) 20° Compute r, the coefficient of correlation. 7) he following are the temperatures on randomly chosen days and the amount a certain kind of T plant grew (in millimeters): Be sure to write the formula and how you arrived at the ans. 4) _______ 5) _______ 6) _______ 7) _______ A) 0396 . B) .0953 C) 0 D) .3105 Find the equation of the least squares line. 8) he paired data below consist of the costs of advertising (in thousands of dollars) and the T number of products sold (in thousands). A) = -26.4 - 1.42x y C) = 26.4 + 1.42x y B) = 55.8 - 2.79x y D) = 55.8 + 2.79x y 8) _______ Use the echelon method to solve the system of two equations in two unknowns. 9) 9x + 8y = 48 4x - 5y = -30 A) -1, 7) ( B) 0, 6) ( C) 0, 7) ( Use the echelon method to solve the system. 10) 3 x y − = −18 23 3x 2 y + = −9 4 9 A) 0, 12) ( B) 12, 0) ( C) 0, -12) ( Use the echelon method to solve the system of three equations in three unknowns. 11) x - y + 2z = -2 5x + z = 0 x + 2y + z = 4 A) 0, 0, 2) ( B) 0, 2, -2) ( C) 0, 2, 0) ( Solve the system of equations. Let z be the parameter. 12) 7x + 3y + 5z = -19 3x + y + 2z = 13 A) B) C) -58 + z, 148 + z, z) ( D) 9) _______ D) o solution N 10) ______ D) -12, 0) ( 11) ______ D) o solution N 12) ______ Solve the problem. 13) est Rentals charges a daily fee plus a mileage fee for renting its cars. Barney was charged $ 147 B for 3 days and 300 miles, while Mary was charged $ 268 for 5 days and 600 miles. What does Best Rental charge per day and per mile? A) 26 per day, 23¢ per mile $ B) 25 per day, 24¢ per mile $ C) 27 per day, 24¢ per mile $ D) 23 per day, 26¢ per mile $ 13) ______ Write the augmented matrix for the system. Do not solve. 14) 5x + 2y - 2z = 19 -2x + 8y + 9z = 37 9x + 7y + 6z = 45 A) B) Use the indicated row operation to change the matrix. 15) 14) ______ C) D) 15) ______ 1 Re place R3 by R3 2 A) B) C) D) Use the Gauss-Jordan method to solve the system of equations. 16) 3x + 3y = -6 2x + 8y = 14 A) -5, -3) ( B) 3, -5) ( C) -5, 3) ( 17) x - y + 3z = 2 4x + z = 2 x + 4y + z = 18 A) 2, 0, 4) ( B) 2, 4, 0) ( C) 0, 4, 2) ( 18) x + y + z = 9 2x - 3y + 4z = 7 x - 4y + 3z = -2 A) B) C) D) 16) ______ D) o solution N 17) ______ D) o solution N 18) ______ Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. 19) ohn has been a teacher at West Side High School for the past 12 years. His salary during J that time can be modeled by the linear equation y = 800x + 33,000 where x is the number of years since he began teaching at West Side and y is his salary in dollars. Explain what the slope, 800, represents in this context. 20) how that the points P1(2,4), P2(5,2), and P3(7,5) are the vertices of a right triangle. S 19) _____________ 20) _____________ Question 21 – 24, ‐‐‐‐‐‐‐‐ ‐‐‐‐‐‐‐ ‐‐‐ worth 5 pts each for a complete solution, (TOTAL 20 pts) (Formulas, work required.)(If you use EXCEL show all work) 21) et the supply and demand functions for a certain model of electric pencil sharpener be given by 21) ______ L p = S(q) = 2 4 q and p = D(q) = 15 − q where p is the price in dollars and q is the quantity of 3 3 pencil sharpeners (in hundreds). Graph these functions on the same axes ( graph the supply function as a dashed line and the demand functions as a solid line). Also find the equilibrium quantity and the equilibrium price. 22) he information in the chart below gives the salary of a person for the stated years. Model the T data with a linear function using the points (1, 24,100) and (3, 26,200) Then use this function to predict the salary for the year 2007. 22) ______ 23) inda invests $25,000 for one year. Part is invested at 5%, another part at 6%, and the rest at 8%. L The total income from all 3 investments is$1600. The income from the 5% and 6% investments is the same as the income from the 8% investment. Find the amount invested at each rate. 24) company is introducing a new soft drink and is planning to have 48 advertisements A distributed among TV ads, radio ads, and newspaper ads. If the cost of TV ads is $500 each, the cost of radio ads is $200 each, and the cost of newspaper ads is $200 each, how can the ads be distributed among the three types if the company has $17,700 to spend for advertising? (Let x denote the number of TV ads, y the number of radio ads, and z the number of newspaper ads. Let z be the parameter.) 23) ______ 24) ______ ...
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This note was uploaded on 01/10/2011 for the course MATH 205 math 205 taught by Professor Google during the Spring '10 term at University of Phoenix.

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