Each question in Part D is worth 1 mark. Questions in Part D may be either multiple-choice, numerical-response, or written response. 19. Simplify the following expression. Show all your work. * 1 point 3x - 5 6 *=0 2.x X Your answer20. The equation that describes a linear function is * 1 point A. y = a. b' B. y = ax + b C. y = ax + bx + c D. y= ax + bx- tex+ d O A O B. O c. O D. 21. The regression equation that best fits this data is * 1 point Distance (m) Height (m) 7 8 20 15 33 24 47 26 60 24 67 21 A. linear B. quadratic c. cubic D. exponential22. Solve the equation below. The value of x is 1 point X 2x-3 Your answer 23. In 1996, a particular car was valued at $27 500 and its value decreased * 1 point exponentially each year afterward. For each of the first 7 years, the value of the car decreased by 24% of the previous year's value. If t is the number of years and v is the value of the car, then the equation for the car's value when ts 7 is A. v = 27 500(1.76) B. v = 27 500(1.24) C. v= 27 500(0.76) D. v = 27 500(0.24) OA O O C. O D24. The total shaded area of Picture 4, is cm?, * 1 point The following pictures form a pattern. The area of the square in Picture 1 is 64 cm. 8 cm & cm Picture 1 Picture 2 Picture 3 Picture 4 Your answer Back Submit Clear form Never submit passwords through Google Forms. This form was created inside of Red Deer Public Schools. Report Abuse Google FormsEach question in Part C is worth 2 marks. Write your answer to each written response question in the space provided. For full marks, show all of your work. 16. Solve the exponential equation algebraically, using logarithms. Show * 2 points your work and round your answer to three decimal places. 3x-1 = 20 Your answer17. Determine the equation of the logarithmic regression function that * 2 points models the data shown above. Round all values in your equation to the nearest hundredth. 5 165 18 305 11 255 12 265 25 340 10 243 16 295 15 285 5 170 3 112 17 300 3 115 17 300 5 165 18 310 12 263 22 330 21 325 Your answer 18. Use a logarithmic regression equation to determine the time it takes, to * 2 points the nearest tenth of a year, for the balance to equal $25 000. (Hint: L1 = Amount; L2 = Time). Darlene received an inheritance of $15 000. She invested it in a GIC that earns 4.5% per year, compounded annually. She would like this investment to accumulate to $25 000, which she can put toward a down payment on a house. The table below shows Darlene's balance over the first 5 years. Time, / (years) Amount, A (S) 0 5 000 15 675 2 16 380 3 17 117 4 17 888 5 18 693 Your answer Back Next Clear formEach question in Part B is worth 2 marks. 11. The time it takes for the jawbreaker to reach a volume of 100 mm 3 , to * 2 points the nearest tenth of a minute, is _ _ minutes. A student places a spherical jawbreaker in a cup of water. As the surface of the jawbreaker dissolves, the jawbreaker maintains a spherical shape. The volume of the jawbreaker, I, as a function of time, 7, is shown below. Time in minutes () Volume in mm' (1) 0 905.000 814.500 733.050 3 659.745 This data can be modelled by the regression equation = 905(0.9). Your answer This is a required question12. The pH of the solution, to the nearest tenth, is 2 points The pH of a solution is given by the formula pHI = -log [11] where [H ] is the concentration of hydrogen ions in moles per litre (mol/L) of the solution, If the hydrogen ion concentration, [H*], of a solution is 2.5 x 10 * mol/L, then the pH of the solution, to the nearest tenth, is Your answer 13. The hydrogen ion concentration is . times greater, to the * 2 points nearest tenth, in Solution A compared with solution B. The formula for pl of a solution can be arranged to express the hydrogen ion concentration, [H ], in terms of pH. [H.] = 10-put Solution A has a PH of 4.2 and solution B has a pH of 5.8. The hydrogen ion concentration, [H ], is times greater, to the nearest tenth. in Solution A compared with solution B. Your answer14. Using the equation below, find the value of m, correct to the nearest * 2 points hundredth, is log, m = -2 Your answer 15. The number of years it will take for Christie's investment to reach $8 * 2 points 000 is . _ years. Christie has $3 000 invested in a savings account that earns 496 per annum. The approximate time for her investment to reach a given future value is modelled by the function 7= 58.7 logA - 204.1 where / is the time in years and 4 is the future value. The function is graphed below. Value of Savings 35- 30- Tune, / (years) - 20- 15- 10 1 000' 2 000 3 000 4 000 $ 000 6 000 7000 8 000 9000 10 000 11 000 12 000 Future value, A (s) Your answer Back Next Clear form Never submit passwords through Google Forms.6. The equation that best represents this function is * 2 points The following graph represents a logarithmic function. -2 - y = -5 log x y = 5 log x O A O B. y = log 5x y = log(-5x) O c. O D.7. Given that normal conversation is 1 000 000 times as intense as lo, then * 2 points the loudness of normal conversation is The equation that defines the decibel level for any sound is L = 10 log( 7 ) where L - loudness in decibels / = intensity of sound being measured I. = intensity of sound at the threshold of hearing A. 5 decibels B. 6 decibels C. 16 decibels D. 60 decibels 8. Using the equation below, find the value of x, to the nearest hundredth is * 2 points log6 3 = x A. 0.37 O B. 0.48 C. 0.61 O D. 1.63\f10. What is the value of x in the equation below? * 2 points logs x = 2 A. 10 B. 25 O C. 32 D. 64 Back Next Clear form Never submit passwords through Google Forms. This form was created inside of Red Deer Public Schools. Report Abuse Google FormsEach question in Part A is worth 2 marks. Read each question carefully and decide which of the choices best completes the statement or answers the question. 1. The x-intercept of the graph below, where b > 0 and b = 1, is * 2 points y = log, X O AO O B. 1 O c. undefined O D. dependent on the value of b2. The equation below can also be written as: * 2 points y= 43x log3 X log4 X y= 4 y= 3 O A O B log3 y logA y X= X= 4 3 O C. O D.3. The value of a in the function f (x) is * 2 points The following graph represents a logarithmic function of the form /(x) - a log, r. A. greater than zero B. less than zero O C. equal to zero OD. dependent on the b-value 4. Using the following equation, find x. * 2 points logx 64 =-1 O A 1 O B. -1 C. 64 D. 645. How many of the above statements are true? * 2 points A list of statements about logarithms and logarithmic functions is given below. Statement 1: The graphs of all logarithmic functions have domain values that are elements of the real numbers. Statement 2: The equation y = log x can be written x = of. Statement 3: All logarithmic functions of the form / (x) = a log x have one x-intercept. Statement 4: The value of log 25 is greater than the value of In 25. OA1 O B. 2 O c. 3 O D. 4 Back Next Clear form Never submit passwords through Google Forms. This form was created inside of Red Deer Public Schools. Report Abuse Google Forms