Question

A biologist recorded a count of 340 bacteria present in a culture after 9 minutes and 950 bacteria present after 22 minutes.

A. To the nearest whole number, what was the initial population in the culture?

B. Round to four decimal places, write an exponential equation representing this situation.

C. To the nearest minute, how long did it take the population to double?

Answer 1

sal het the exponential function be Plt)= f. bt where f(t)= Bobulation of bacteria after t minutes - Poe mittà population Cat tre) b= growth factor t = time (in minutes) ܨܦܝܢܢܠܠܛܐ buren: P(q) = 340 from we have P(22) = 950

طمع =ميقة المعديوم ) (22)ط طہ 22 هادوكو و - - ل مه لو عصبة عمتحدئي د عكف 62 و34 -9-22م ودف/ 950 کاتالدودو تکه درگياليهود علتط هوالعلقت ردعملته الشموعوهنيط Plt) = Po (1.0822) from, we get 340 = 2 (1.0822) = 16693795 2:03595309 Po N 167 bacteuea 1 واقعہ ونمط قماعهلهلمللطمظلننلنله بعدها عملدرهم فيه Plt)= 22. 2 : then, (۱۰08 22) = و (22 هما ارععهعنلمهلتجمعها (22هويصلات الهيكلققمه + دو مهمودهتعملهيتلقوه

- t 0.69314118 = 8.77445854 0.0789960062 Lot a minutes (nearest minute) Thus, it will a minutes approximately. (but not exactly a minutes).