Thursday,+April+29,+2010Set6

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

problem #1: Sam P 30=k*45000^1/7 //f(x) = 6.492x^1/7// 1b. f(x)=6.492*90000^1/7 //**33.123 knots**// 1c. **No** 1d. Its because too much power is lost in moving the boat through the water and making the wake. The more power input the more is lost inthe wake

problem #2: Rafa

problem #6: Julia

problem #7: Nate



problem #8: Katie

(time,distance) (1,150 million)

A) d=kt d^3/2=kt 150^3/2=k


 * d^3/2=150^3/2t**

B) Mercury- 0.24 Mars- 1.87 Pluto- 247.5
 * I just plugged in numbers for d to solve for t

problem #9: Becca Becca, but I disagree -- the more the slices, the longer the time. So it varies directly but not as the first power!!

problem #11: Jonathan x= # of days y = # of hyacinths a) Exponential, because it is increasing by a certain percentage each time. (e.g. 156/120 = 1.3, and 264/203 = 1.3) b) (3, 120) (12, 264) y=a(b)^x/3 120=ab^3/3 264=ab^12/3 120/b=a 264/b^4=a 120/b=264/b^4 (cross multiply) - 120b^4=264b b^3=2.2 (raise both sides to the 1/3) b=1.3

y=a(1.3)^x/3 120=a(1.3)^3/3 92.308=a


 * y = 92.308(1.3)^x/3**

c) y = 92.308(1.3)^6/3 y=92.308(1.3)^9/3
 * y=156.00 y=202.8**

d)10,000=92.308(1.3)^x/3 108.333=1.3^x/3 log108.333/log1.3 = x/3 17.858 = x/3
 * 53.573 = x**