A pair of​ women's running shoes cost $110 in 2004 and the same shoes cost​ $120 in 2008 due to inflation.   a. Develop an exponential model to describe the rate of inflation over this time period. b. If inflation continues at the same​ rate, use your model in part​ (a) to estimate the price of the shoes in 2013.   a. The rate of inflation can be modeled by the following exponential​ equation, where the model solves for the inflated price y after time x.   y=110(__)x ​(Round to four decimal places as​ needed.)   b. The estimated price of the running shoes in 2013 will be $__. ​(Round to two decimal places as​ needed.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 29PT: A radiation safety officer is working with 112 grams of a radioactive substance. After 17 days,...
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A pair of​ women's running shoes cost $110 in 2004 and the same shoes cost​ $120 in 2008 due to inflation.
 
a. Develop an exponential model to describe the rate of inflation over this time period.
b. If inflation continues at the same​ rate, use your model in part​ (a) to estimate the price of the shoes in 2013.
 
a. The rate of inflation can be modeled by the following exponential​ equation, where the model solves for the inflated price y after time x.
 
y=110(__)x
​(Round to four decimal places as​ needed.)
 
b. The estimated price of the running shoes in 2013 will be $__.
​(Round to two decimal places as​ needed.)
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