The number of children under 18 living in households headed by a grandparent can be modeled as p(t) 2.111e.04t million children where t is the number of years since 1980.t (a) Write the rate-of-change formula for p. P'(t) 0.084e0.04r million children per year (b) How rapidly was the number of children living with their grandparents growing in 2002? (Round your answer to three decimal places.) Xmillion children per year 0.203

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 15T
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The number of children under 18 living in households headed by a grandparent can be modeled as
p(t) 2.111e.04t million children
where t is the number of years since 1980.t
(a) Write the rate-of-change formula for p.
P'(t) 0.084e0.04r
million children per year
(b) How rapidly was the number of children living with their grandparents growing in 2002? (Round your answer to three decimal places.)
Xmillion children per year
0.203
Transcribed Image Text:The number of children under 18 living in households headed by a grandparent can be modeled as p(t) 2.111e.04t million children where t is the number of years since 1980.t (a) Write the rate-of-change formula for p. P'(t) 0.084e0.04r million children per year (b) How rapidly was the number of children living with their grandparents growing in 2002? (Round your answer to three decimal places.) Xmillion children per year 0.203
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