2.Gasoline costs $1.99 per gallon. The price per gallon increases an average of 6%per month. a.Write an exponential growth model b.What is the price per gallon of gasoline after of the price of a gallon of gasoline after 14 months? (dollars) as a function of x months.

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Answer:

The expression that represents the price as a function of months is "gas(x) = 1.99*(1.06)^x" and after 14 months the price will be "gas(14) = 4.4992"

Step-by-step explanation:

Since it grows at a rate of 6% every month, then it starts as:

gas(0) = 1.99

On the first month:

gas(1) = gas(0)*(1.06)

On the second month:

gas(2) = gas(1)*1.06 = gas(0)*(1.06)*1.06 = gas(0)*(1.06)²

And so on. So the price growth can be modelled by the following expression:

gas(x) = gas(0)*(1.06)^x

Where x is the number of the month.

After 14 months the price will be:

gas(14) = 1.99*(1.06)^14 = 4.4992

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