Question

му art Name: Write your answer or answers as pairs (x,y) 6. 16 pts) Solve the system of equations: xy-y = -4 xy-2y=-29 #6: 7. (pt) The number N() of bacteria in a culture is growing exponentially. When 1 =0, N(1) 100, and when t=5, NC) -300 where is the time in hours. a. Find the growth rate k. (Round to four decimal places.) #7a: b. Write the function that represents the number of bacteria after t hours. #7b: c. After how many hours will the number of bacteria be 10,000? Round to the nearest hour. #7c: Page 4 of 4

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Answer 1

(94)- (-4.2,-5) 01 (1) let N(t) = A e Bt 6) aly-y=-4 ay-2y² = -29 + + y .25 y=+5, y = 5 if y=5 ay-y=-4 - als)-25=-4 Joo-osu 5x=21 1=2= 4,2 (ang- (4.2,5) if yz -5, ay-y²= -4 a(s)-L-5) = -4 -52-25=-4 52= 21 o Enroe ac-4.2 0000 (1) t=0, NCH) = 100 in 0.0000 100 - AeBlo) A-100 BG So WLE)- 100e

t-S,N(t)300 (2) in 300- 100 e BL5) 3= - eSB In 3=5B B = In3 in ② (102) N(E)= 100 e 14. ☺ Growth rate k. k = du dt 100x ln3 (!!)t 5 e 0.21974 k= 21.972 e 1173) 01 K= (20103) e (5) N(E)= 100e (193) CT © . NCH - 10000 in (13) 10000 -100 e 100 = In 100 = DO t te 20.959 hours soola
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