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Part B The growth of a similar population was investigated after spraying a kitchen bench with Glen 20 disinfectant. The blue parabola represents the new model and the red parabola is the population from Part A. a) Use calculus methods to find the equation g(t) for the new model. b) Construct a graph of p' (t) and g'(t). c) State the time interval for which g'(t) is increasing. d) Compare the population growth rate for the two models when t = 1, t = 5 and t= 10. Explain what is happening to each population. -20 Population (p) 300- 200 100 0 (1.5, 202.25) 20 time (

Part B The growth of a similar population was investigated after spraying a kitchen bench with Glen 20 disinfectant. The blue parabola represents the new model and the red parabola is the population from Part A. a) Use calculus methods to find the equation g(t) for the new model. b) Construct a graph of p' (t) and g'(t). c) State the time interval for which g'(t) is increasing. d) Compare the population growth rate for the two models when t = 1, t = 5 and t= 10. Explain what is happening to each population. -20 Population (p) 300- 200 100 0 (1.5, 202.25) 20 time (

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 34E
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lia) 80 F3 E Part B The growth of a similar population was investigated after spraying a kitchen bench with Glen 20 disinfectant. The blue parabola represents the new model and the red parabola is the population from Part A. a) Use calculus methods to find the equation g(t) for the new model. b) Construct a graph of p' (t) and g'(t). c) State the time interval for which g'(t) is increasing. d) Compare the population growth rate for the two models when t = 1, t = 5 and t= 10. Explain what is happening to each population. Accessibility: Investigate $ 4 800 F4 R 95 % F5 T A 6 MacBook Air F6 -20 Y & 7 F7 @ 300 200 100- * 0 8 (1.5, 202.25) DII F8 ( 9 20 time (t) DD F9 Focus E 0 0 F10
Transcribed Image Text:lia) 80 F3 E Part B The growth of a similar population was investigated after spraying a kitchen bench with Glen 20 disinfectant. The blue parabola represents the new model and the red parabola is the population from Part A. a) Use calculus methods to find the equation g(t) for the new model. b) Construct a graph of p' (t) and g'(t). c) State the time interval for which g'(t) is increasing. d) Compare the population growth rate for the two models when t = 1, t = 5 and t= 10. Explain what is happening to each population. Accessibility: Investigate $ 4 800 F4 R 95 % F5 T A 6 MacBook Air F6 -20 Y & 7 F7 @ 300 200 100- * 0 8 (1.5, 202.25) DII F8 ( 9 20 time (t) DD F9 Focus E 0 0 F10
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