For each table below decide if the relationship is linear, absolute value, exponential or none of them. If it represents one of them write the equation to represent the data. Table A X y 0 12 1 9 2 6 3 3 4 0 Table D X y 5 2 6 1 7 0 8 1 9 2 Table B x y 1 55 2 275 3 1375 4 6875 5 Table E x y 0 10 1 30 2 90 3 270 4 810 Table C x y 0 15 1 16 2 19 3 24 4 31 F x y 3 864 4 5184 5 31104 6 186624 7 1119744 Simplify Growth Factors and Growth Rates
Classwork What is the growth factor in each of the following exponential tables Table A X y 0 4 1 9.6 2 23.04 3 55.296 4 132.71 Table D X Y 3 103.8 4 488.0 5 2293.5 6 10779.2 7 50662.3 Table B x y 1 1.8 2 3.24 3 5.83 4 10.50 5 18.90 Table E x y 0 13 1 15.6 2 18.72 3 22.46 4 26.96 Table C x Y 2 61.25 3 214.38 4 750.31 5 2626.09 6 9191.33 F x Y 1 31.2 2 121.7 3 474.6 4 1850.8 5 7217.9 Fill in the table below with the missing growth factors and growth rates.
e. 14●14●14●14 5. 24= 2●2●2●2 =16, 42 =4●4 =16, 2●4 =8 6. a. 25 b. 32 c. 8 7. 3 8. 4 9. 6 10. 4 11. 10 12. 14 13. 24 14. 87 15. m6 16. 52 17. 75 18. P6 19. 16 20. 27 21. 81 22. 1000000 23. a. 1 5 2 25 3 125 4 625 5 3125 b. 9765625 c. Number of Cuts Fifths Halves Thirds Fourths 1 5 2 3 4 2 25 4 9 16 3 125 8 27 64 4 625 16 81 256 5 3125 32 243 1024 24 a. exponent 5, base 3, 243 b. exponent 2, base 8, 64 c. exponent 4, base, 10000 d. exponent 3, base 12, 1728 e. exponent 7, base 6, 279936 25. a. 53 b. 26 c. 104 d. 82 e. 16 26. a. 12●12●12●12 b. 4●4●4●4●4●4●4 c. 10●10●10●10●10 d. 3●3●3●3●3●3 e. 8●8●8●8●8●8●8●8●8●8 27. 35 = 3●3●3●3●3 = 243, 53 = 5●5●5 = 125, 3●5 = 15 28. a. 4096
b. 64 c. 144 29. 4 30. 2 31. 8 32. 10 33. 7 34. 3 35. 105 36. 63 37. n2 38. y5 39. 944 40. q2 41. 74 42. 35 43. 53 44. 26 45. 125 46. 1 47. 56 48. 64 49. 216 50. linear 51. linear 52. linear 53. exponential 54. exponential 55. linear 56. exponential 57. exponential 58. linear 59. exponential 60. linear 61. m7 62. 2c10 63. y6 64. 5z8 65. 66. b3 67. d8 68. x13 69. 24x2y6 70. p3q11 71. linear 72. exponential 73. linear 74. linear 75. exponential 76. exponential 77. linear 78. exponential 79. linear 80. exponential 81. exponential 82. v14 83. t19 84. 6n15 85. -30z10 86. x8 87. -20u3v5 88. 15j5k3 89. 90. a10c7
a. exponential b. 50 c. 50(3x) 110. a. linear b. 250 c. y=28x+250 111. A-linear, y=-3x+12 B-exponential, 55(5x) C-neither D-absolute value, │x-7│ E-exponential, 10(3x) F-exponential, 864(6x) 112. z6 113. m2 114. s5 115. 10446 116. 426 117. 6x25 118. A-2.4 B-1.8 C-3.5 D-4.7 E-1.2 F-3.9 119. 1.25, 1.07, 42%, 150%, 20%, 1.5, 1.42, 43% 120. a. 1.07 b. 1125.57 121. a. 1.03 b. 67.20 122. a. 1.05 b. 1550.02 123. 100 124. -8 125. -32 126. 9 127. -27 128. -1 129. -10000000 130. 256 131. 1 132. -8 133. A- 1.7 B- 2.5 C- 4.2 D- 3.4 E- 2.3 F- 1.3 134. 45%, 7%, 1.04, 1.88, 23%, 40%, 1.28, 1.3 135. a. 1.04 b. 1184.34 136. a. 1.07 b. 2621.59 137.
a. 1.05 b. 822.59 138. 36 139. -216 140. 81 141. -243 142. -3125 143. -1000000000 144. 1 145. 100000000 146. -6 147. -64 148. 0 500 1 333 2 222 3 148 4 99 5 66 6 44 7 29 8 19 b. 500 c. .66 d. 500(2/3)x 149. a. 0 700 1 525 2 394 3 296 4 222 5 167 6 125 7 94 8 71 b. 700 c. .75 d. 700(3/4)x 150. 50%, 75%, .70, .55, 10%, 95%, .1, .92 151. x12 152. y10 153. c6 154. 216 155. 342 156. 157. 4854 158. w480 159. 1227 160. z30 161. 0 850 1 425 2 213 3 107 4 54
5 27 6 14 7 7 8 4 b. 850 c. .5 d. 850(1/2)x 162. 0 1000 1 800 2 640 3 512 4 410 5 328 6 262 7 210 8 168 b. 1000 c. .8 d. 1000(4/5)x 163. 97%, 35%, .72, .28, 68%, 52%, .47, .60 164. 1627 165. 1218 166. x70 167. 1032 168. a42 169. t72 170. r49 171. 36 172. q24 173. 5436 174. a. 57 b. 1210 c. 33 d. 46 e. 58 f. 102 g. 32 h. 53 i. 9-3 j. 12-2 k. 105 l. 27 175. a. 4m10 b. -4z6 c. a8b12 d. -25x10y15 e. 24x12 f. -35h15 g. -43b9 h. 55a15
i. 34x8y16 j. –j14 k. 1/34 l. 1/(-4)3 m. 1/7 n. 1/(-3)2 o. 11/m5 p. 2/a3 q. 7/s4 r. 7t2/s4 s. v2/n5 t. 1/52p 176. a. 1214 b. 210 c. 5-15 d. 15-40 e. 68 f. 113 g. 74 h. 114 i. 3-2 j. 2-4 k. 134 l. 59 177. a. -33r3 b. c. -26r30s12 d. e. –a6b9 f. -24r8s4 g. 43u3v15 h. c6 i. –d10 j. 45x30y10 k. 1/42 l. 1/(-x)2 m. 1/(-5)2 n. 1/78 o. 5/x4 p. 1/x7 q. 7a/b2 r. s2/r4 s. 3/s2 t. y7/x5 Unit Review 1. C 2. B 3. B 4. C 5. C 6. C 7. B 8. A 9. B 10. C 11. B 12. B 13. C 14. D 15. B