The average hair grows at a rate of about 12 inch per month. If Jenny's hair is 12 inches long, how many months will it take for her to grow her hair to 18 inches? You MUST write an equation that models this information. Solve the equation. Show all your work for full credit.

Let's call the number of months it takes for Jenny's hair to grow to 18 inches as "x".

Based on the given information, we know that Jenny's hair grows at a rate of 12 inches per month. So, in x months, Jenny's hair will have grown by 12x inches.

Now, our equation is:
12x + 12 = 18

To solve for x, let's subtract 12 from both sides of the equation:
12x = 6

Dividing both sides of the equation by 12, we find:
x = 6/12

Simplifying this, we get:
x = 1/2

So, it will take Jenny 1/2 month (or 2 weeks) to grow her hair from 12 inches to 18 inches.