The average hair grows at a rate of about 1/2 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 x be the number of months it will take for Jenny to grow her hair to 18 inches.

Since the hair grows at a rate of 1/2 inch per month, the equation that models this information is: (1/2)x + 12 = 18
Subtract 12 from both sides of the equation to isolate (1/2)x:
(1/2)x = 18 - 12
(1/2)x = 6
Multiply both sides of the equation by 2 to solve for x:
x = 12
So, it will take Jenny 12 months to grow her hair to 18 inches.