High School

A gallon of gas costs [tex]\$3.70[/tex] in 2022. If inflation is [tex]3.5\%[/tex], assuming the price of gasoline only increases with inflation, how much will a gallon of gas cost in 60 years?

Answer :

The cost of a gallon of gas in 60 years would be approximately $22.49.

To calculate the future cost of a gallon of gas, we need to consider the rate of inflation. In this case, the inflation rate is given as 3.5%. This means that the price of gasoline will increase by 3.5% annually.

To find the future price after 60 years, we can use the compound interest formula:

Future Value = [tex]Present Value * (1 + inflation rate)^n^u^m^b^e^r[/tex]of years

Substituting the given values into the formula, we have:

Future Value = 3.70 * (1 + 0.035)⁶⁰ ≈ 22.49

Therefore, in 60 years, the cost of a gallon of gas would be approximately $22.49.

It's important to note that inflation rates can fluctuate over time, and various factors can impact the price of gasoline. This calculation assumes a constant inflation rate and only considers the effect of inflation on the gas price.

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