Thursday,+April+29,+2010Set3

p. 435 # 1, 2, 6, 7, 8, 9, 11

problem #1: Hannah 1a. 30=k*45000^1/7 1b. f(x)=6.492*90000^1/7 1c. **No.** 1d. **The engines do not have unlimited amounts of horsepower; they cannot go infinitely fast, and therefore, the distance doesn't go much above 30 knots.**
 * f(x) = 6.492x^1/7**
 * 33.123 knots**

problem #2: Laura 2a. 43000000=k15^.6 k=8468640.559 2b. i. y=8468640.559 x 500^.6 ii. y=8468640.559 x .07^.6 2c. Less than double because the manufacturing capacity is raised to the power .6, which is less than one, and it becomes less than exactly double the first manufacturing capacity. Example: When x=500, y=352529693 but when x=1000, y=534335095.8
 * y=8468640.559x^.6**
 * cost= 352529693 $**
 * cost= 1717404.214 $**

problem #3: Jenna

problem #6: Maya 6a. pv^1.4 = k (15)(40^1.4) = k k = 2624.07
 * p = 2624.07/v^1.4**

6b. p = 2624.07/20^1.4
 * p = 39.59 psi**

6c. 50v^1.4 = 2624.07 ---divide both sides by 50---> v^(14/10) = 52.4814 raise both sides to the 10/14---> **v = 16.93 cubic inches**

6d.

problem #7: Elena

7. y = (k) .55 = (k) √.3 .55/√.3 = k k = 1 a) y = (1) √x

1 = (1) √x 1 = √x 1 = x b) 1 meter

10 = (1) √x (10)^2 = (√x)^2 x = 100 c) 100 meters tall


problem #8: jacob

problem #9: Tyler

problem #11: Sarah

11a. It is exponential because the flowers increase at an extremely steep rate as the days go on.

11b. 120 = a x b³ 120/b³ = a 264= (120/b³) x b¹² 264= 120b⁹ (2.2= b⁹)¹/⁹ b= 1.092 120= a x 1.092³ a= 92.266 y= 92.266 x 1.092^x

11c. y = 92.266 x 1.092⁶ y= 156.451 y= 92.266 x 1.092⁹ y= 203. 726

11d. 10,000 = 92.266 x 1.092^x 108.382 = 1.092^x log 108.382 = x(log 1.092) x = 53.240 on the 53rd day it will be covered in flowers