oil consumption is increasing at a rate of 2.2% per year. in how many years will the oil consumption be twice the amount it is today?

2 = (1 + .022)^y

thank you Scott your awesome

To find out how many years it will take for the oil consumption to be twice the amount it is today, we need to use an exponential growth equation.

Let's assume the current oil consumption is represented by "x." We know that the oil consumption is increasing at a rate of 2.2% per year, which can be represented as (2.2/100)x.

So, after one year, the oil consumption will be x + (2.2/100)x = 1.022x.

To find the number of years it takes for the oil consumption to reach twice the current amount, we need to solve the equation 1.022x = 2x.

Dividing both sides of the equation by x, we get 1.022 = 2.

Now, let's solve for x:

1.022^x = 2

Taking the log base 1.022 of both sides, we have:

log(1.022^x) = log(2)

x * log(1.022) = log(2)

Now, divide both sides of the equation by log(1.022):

x = log(2) / log(1.022)

Using a calculator, we can calculate the value of x:

x ≈ 34.13

Therefore, it will take approximately 34.13 years for the oil consumption to be twice the amount it is today.