Advanced Functions,Exponential Functions

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Homework Help Overview

The discussion revolves around calculating the future cost of gasoline considering an annual inflation rate of 2.5%. The original poster presents a scenario from 2009 where the cost of gasoline is $0.90 per litre, and they seek to determine the price of filling a 60-litre gas tank ten years later.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the formula for future value with inflation, questioning the initial value and the application of the inflation rate over time. There is an attempt to clarify the correct approach to calculating the compounded cost of gasoline.

Discussion Status

Some participants have provided initial calculations and questioned the assumptions regarding the inflation application. There is an ongoing exploration of the correct interpretation of the formula and its variables, with no clear consensus yet on the final approach.

Contextual Notes

Participants are considering the implications of compounding inflation on the price of gasoline, and there is a focus on ensuring the correct initial value is used in calculations. The discussion reflects the need for clarity on how inflation affects prices over multiple years.

ohhnana
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Homework Statement


Inflation is currently causing the cost of items to increase by about 2.5% per year. In 2009 a litre of gasoline costs approximately $0.90. What will it cost to fill a 60 litre gas tank 10 years from now? Round your answer to the nearest dollar.


Homework Equations



A=A0(1+i)^n

The Attempt at a Solution


C=.90+.025*10(.90)
 
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ohhnana said:

Homework Statement


Inflation is currently causing the cost of items to increase by about 2.5% per year. In 2009 a litre of gasoline costs approximately $0.90. What will it cost to fill a 60 litre gas tank 10 years from now? Round your answer to the nearest dollar.


Homework Equations



A=A0(1+i)^n

The Attempt at a Solution


C=.90+.025*10(.90)
= 1.125.

This answer doesn't take into account that the 2.5% increase is on the previous year's price. Use the equation you considered to be relevant to find the cost of a liter of gas in the 12 years from 2009 to 2021.

Then calculate the cost of a 60 L tank of gas.
 
so what would A0 be?
 
Thank You
 

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