M MAA webwork/jackson.prep 101-spring 2018/3.5 exponential,and Jog models / 1 AT

Question

M MAA webwork/jackson.prep 101-spring 2018/3.5 exponential,and Jog models / 1 ATHEMATICAL ASSOCIATION OF AMERICA 3.5 Exponential And Log Models: Problem 1 Probiem List Next (2ports) A city had a population of 2,628 at the beging of 1960 and has been growing at 9.4% per year since then. Fnd the size of the city at the beginning of 1996. b) During what year will the population of the city reach 7,155,283 ? Answer Note: You can eam partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining Emal Instructor MacBook Air 5 7 8 9

Explanation / Answer

Model the function as

P(t) =2628 (1+ 9.4/100)^t

P(t) =2628(1.094)^t

a)

Here t= 1996 -1960 =36

P(36) =2628(1.094)^36

=66718.91

=66719

b)

2628(1.094)^t = 7155283

(1.094)^t =7155283/2628

t=ln(7155283/2628) / ln(1.094)

t=88.037

t=89 [ round to next year]

hence in year 1960 +89=2049

Answer could also be 2048 if rounding instruction is to integer.

Related Questions

Navigate

• Browse (All)
• Browse M
• Subjects

---

---

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