The number of children under 18 living in households headed by a grandparent can be modeled asp(t) 2.111e.04t million childrenwhere t is the number of years since 1980.t(a) Write the rate-of-change formula for p.P'(t) 0.084e0.04rmillion 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 year0.203

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Asked Nov 1, 2019
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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
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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

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Expert Answer

Step 1

Given,

p(t) 2.11le
0.04
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p(t) 2.11le 0.04

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Step 2

Differentiate above equation with respect to ‘t’,

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Step 3

As, the time is start fr...

t
year
1980 0
1981 1
1982 2
2002 22
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t year 1980 0 1981 1 1982 2 2002 22

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Math

Calculus

Derivative