The number of Americans age 65 or older can be modeled asn(x) = −0.00082x3 + 0.059x2 + 0.183x + 34.42where output is measured in million people and x is the number of years since 2000, projections through 2050.What is the rate of change of the projected number in 2045?Calculate the percentage rate of change in the projected number in 2045.

Question
Asked Oct 16, 2019
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The number of Americans age 65 or older can be modeled as

n(x) = −0.00082x3 + 0.059x2 + 0.183x + 34.42

where output is measured in million people and x is the number of years since 2000, projections through 2050.

What is the rate of change of the projected number in 2045?

Calculate the percentage rate of change in the projected number in 2045. 

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Expert Answer

Step 1

For  rate of change of the projected number in 2045 we have to find n'(45...

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n(x)=-0.00082x3+0.059x2+0.183x+34.42 n'(x)-0.00082(3x2)+0.059(2x)+0.183 n'(x)=-0.00246x2+0.118x+0.183 n'(45)0.00246(45)?+0.118(45)+0.183 n(45) 0.5115

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Math

Calculus