After its fastest rate of growth ever during the 1980s and 1990s, the rate of gr

Question

After its fastest rate of growth ever during the 1980s and 1990s, the rate of growth of world population is expected to slow dramatically in the twenty-first century. The function gives the projected annual average percent population growth per decade in the tth decade, with t = 1 corresponding to 2000. What will the projected annual average population growth rate be in 2010 (t = 2)? (Round your answer to two decimal places.) How fast will the projected annual average population growth rate be changing in 2010 (t = 2)?

Explanation / Answer

G(t) = 1.58e-0.213t

a) G(2) = 1.58e-0.213(2) = 1.58e-0.426

==> G(2) = 1.03 % per decade

b) G(t) = 1.58e-0.213t

==> G '(t) = 1.58e-0.213t(-0.213)

==> G '(t) = -0.3365e-0.213t

==> G '(2) = -0.3365e-0.213(2)

==> G '(2) = -0.3365e-0.426

==> G '(2) = -0.2197997

==> G '(2) = -0.22 % per decade per decade

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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