1 MAC1105, College Algebra Study Questions for Common Final ...

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34. Fill in the following chart and then construct exponential functions for each part (a) to (g). Initial Value a. 600 b. 1200 Growth or Decay? c. 6000 Decay d. 1,500,000 Decay e. 1,500,000 Growth f. 7 g. 60 Growth or Decay Factor 2.06 4.35 0.35 10 Growth or Decay Rate (% form) 200% 75% 25% 25% Exponential Function 35. The table below represents an exponential function. Construct that function and then identify the corresponding growth or decay rate in percentage form. X 0 1 2 3 Y 500.00 425.00 361.25 307.06 36. Generate equations that represent the pollution levels, P(t), as a function of time, t (in years), such that P(0) = 150 and: a. P(t) triples each year. b. P(t) decreases by twelve units each year. c. P(t) decreases by 7% each year. d. The annual average rate of change of P(t) with respect to t is constant at 1. 37. A pollutant was dumped into a lake, and each year its amount in the lake is reduced by 25%. a. Construct a general formula to describe the amount of pollutant after t years if the original amount is . b. Use a symbolic approach to determine how long it will take before the pollution is reduced to 10% of its original level. 38. Which of the following functions have a fixed doubling time? A fixed half-life? a. Y = 62 c. Q = 300(1/2) t e. P = 500 – ½ T b. Y = 5 + 2x d. A = 102 f. N = 50( )t/20
39. Fill in the following chart. (The first column is done for you.) a. b. c. d. Initial Value 50 1000 4 5000 Doubling Value Exponential 30 days 7 years 25 minutes 18 months Function (f(t) =/ ) F(t) = 50 2/ Growth Factor 2 Per unit of time / = 1.0234 Per day Growth rate per Unit of time (in percentage form) 2.34% Per day 40. The accompanying graph shows the concentration of drug in the human body as the initial amount of 100 mg dissipates over time. Estimate when the concentration becomes: a. 60 mg b. 40 mg c. 20 mg 41. Contract, using the rules of logarithms, and express your answer as a single logarithm. a. 3 log K – 2 log(K+3) b. –log m + 5 log(3+n) c. 4 log T + ½ log T d. (log x + 2 log y) 42. Solve for x. a. log x = 3 d. log(x + 1) – log x = 1 b. log(x + 1) =3 e. log x – log(x + 1) = 1 c. 3 log x = 5 11
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Page 3 and 4: 7. Examine the accompanying graph,
Page 5 and 6: 15. Match the graph with the correc
Page 7 and 8: 21. The supply and demand equations
Page 9: 29. Each of the following tables co
Page 13 and 14: 51. Rewrite each of the following f
Page 15 and 16: 61. The following figures show two
Page 17 and 18: Which functions: a. Are symmetric a
Page 19 and 20: 76. For each of the following graph
Page 21 and 22: 85. Find a new function j(x)such th
Page 23 and 24: Solutions to Study Questions MAC 11
Page 25 and 26: 13. a. 1/10 b. 1/12 c. old: =
Page 27 and 28: 24. For Graph A: x≥ 0, y ≥ 0, a
Page 29 and 30: 37. a. A(t) = 0.75 , where t meas
Page 31 and 32: 59. a. f(0) = g(0) = 0 b. If 0 < x
Page 33 and 34: 75. a. goes with Graph A; b. goes w

1 MAC1105, College Algebra Study Questions for Common Final ...

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