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.

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

answer is x<

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)