Between 2000 and 2010, the Phillips curve for the U.S. unemployment rate u and the Consumer Price Index inflation rate I was I(u) = 45.4u-1.54 -1 where u and I are both percents. Find dI for the value of u and du.t (Round your answer to one decimal place.) u = 3 and du = 0.5 % dI = Interpret dI. (Round your answer to one decimal place.) At "low" unemployment, increasing unemployment by just 0.5% significantly --Select-- the inflation rate by %.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Between 2000 and 2010, the Phillips curve for the U.S. unemployment rate \( u \) and the Consumer Price Index inflation rate \( I \) was

\[ I(u) = 45.4u^{-1.54} - 1 \]

where \( u \) and \( I \) are both percents. Find \( dI \) for the value of \( u \) and \( du. \) (Round your answer to one decimal place.)

\[ u = 3 \] and \( du = 0.5 \)

\[ dI = \ \underline{\hspace{40px}} \ \%\]

Interpret \( dI. \) (Round your answer to one decimal place.)

At "low" unemployment, increasing unemployment by just 0.5% significantly \(\text{---Select---}\) the inflation rate by \(\underline{\hspace{40px}}\%\).
Transcribed Image Text:Between 2000 and 2010, the Phillips curve for the U.S. unemployment rate \( u \) and the Consumer Price Index inflation rate \( I \) was \[ I(u) = 45.4u^{-1.54} - 1 \] where \( u \) and \( I \) are both percents. Find \( dI \) for the value of \( u \) and \( du. \) (Round your answer to one decimal place.) \[ u = 3 \] and \( du = 0.5 \) \[ dI = \ \underline{\hspace{40px}} \ \%\] Interpret \( dI. \) (Round your answer to one decimal place.) At "low" unemployment, increasing unemployment by just 0.5% significantly \(\text{---Select---}\) the inflation rate by \(\underline{\hspace{40px}}\%\).
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