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
