Db My Blackboard. x LON-CAPA Q33 e x LON-CAPA Differe x MB Registration purc X U

Question

Db My Blackboard. x LON-CAPA Q33 e x LON-CAPA Differe x MB Registration purc X UniTime 4.1 stuc x D UnTime 4.1l Unive x C Find The signed A x CFind The Area of T x C https: oncapa04.purdue u/res/purduel purdue math/math16010/PotentialExamQuestions/Exam%204/Rodrigo 11 s.problem?symb uploaded%2fpurdue%2f1 p108314be67f57. ed Messages Courses Help Logout Leiyi Pan Student section: 127 MA 16010 (Online), Applied Calculus I, Fall 2016 Main Menu s Grades Reservations Contents Course Contents After Exam 3 Practice Questions Q33 exp growth problem Notes Evaluate Feedback Print nfo New P roblem Vat Practice Problem Submissions are not permanently recorded The population of a city has been growing at a rate that is proportional to the population itself. According to census data, the population was 150 thousand people in 2000, and 170 thousand in 2010. Assuming that trend continues, how many people will be in this city by the year 2020 when the next census will take place? Round your answer to the nearest integer. o 201,624 people o 261,325 people o 192,667 people o 178,389 people o 182,365 people o 195,223 people Submit Answer Tries 0/99 his discussion is closed Send Feedback

Explanation / Answer

let population of the city is P; hence from above calculation

dP/dt =kP

lnP =kt +C

P =Dekt

at t=0(year 200) P = 150(thousands) hence

150 =D

D=150

and at=10;

170 =150e10*k

k =0.012516

hence at t=20 ;population

P =150e20*0.012516 =192.667 thousand

hence 192667

Related Questions

Navigate

• Browse (All)
• Browse D
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.