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The following table gives the average cost, C (in dollars), of a gallon of gas over the last several years, t. Round answers to three decimal places. 1950 1960 1970 1980 1990 2009 2013 Year, t Cost ($), C 0.18 0.25 0.36 1.19 1.34 2.05 1.98 a. Find the equation of the line of best fit for the cost as a function of time. (Let 1950 = 0, 1960 = 10, etc.) C(t) = 0.033x + 0.012

The following table gives the average cost, C (in dollars), of a gallon of gas over the last several years, t. Round answers to three decimal places. 1950 1960 1970 1980 1990 2009 2013 Year, t Cost ($), C 0.18 0.25 0.36 1.19 1.34 2.05 1.98 a. Find the equation of the line of best fit for the cost as a function of time. (Let 1950 = 0, 1960 = 10, etc.) C(t) = 0.033x + 0.012

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 14TI: The half-life of plutonium-244 is 80,000,000 years. Find function gives the amount of carbon-14...
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The following table gives the average cost, C (in dollars), of a gallon of gas over the last several years, t. Round answers to three decimal places. 1960 1970 1980 1990 Year, t Cost ($), C 1950 2009 2013 0.18 0.25 0.36 1.19 1.34 2.05 1.98 a. Find the equation of the line of best fit for the cost as a function of time. (Let 1950 = 0, 1960 = 10, etc.) C(t) = 0.033x + 0.012 b. According to the model (part a) what is the average annual increase in the price of gas? (give you answer with three decimal places) $ 0.012 c. Use the model (part a) to estimate the cost of gas in 2020. $ 2.322
Transcribed Image Text:The following table gives the average cost, C (in dollars), of a gallon of gas over the last several years, t. Round answers to three decimal places. 1960 1970 1980 1990 Year, t Cost ($), C 1950 2009 2013 0.18 0.25 0.36 1.19 1.34 2.05 1.98 a. Find the equation of the line of best fit for the cost as a function of time. (Let 1950 = 0, 1960 = 10, etc.) C(t) = 0.033x + 0.012 b. According to the model (part a) what is the average annual increase in the price of gas? (give you answer with three decimal places) $ 0.012 c. Use the model (part a) to estimate the cost of gas in 2020. $ 2.322
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