Question
Jenny's hair grows at a rate of 1/2 inch per month. To reach a length of 18 inches, the equation (1/2)x + 12 = 18 is used, where x represents the number of months. By isolating (1/2)x on one side of the equation, it is found that (1/2)x = 6. Mulitiplying both sides by 2 results in x = 12. Thus, it will take Jenny 12 months to grow her hair to 18 inches.
Answers
GPT 3.5
This reasoning is incorrect. Let's go through it step by step:
First, we need to set up the equation to represent the situation. The given information states that Jenny's hair grows at a rate of 1/2 inch per month. Let x represent the number of months it takes for Jenny's hair to grow to a length of 18 inches.
Since her hair grows at a rate of 1/2 inch per month, we can say her hair length after x months is (1/2)x inches.
Now we can set up the equation:
(1/2)x = 18
To solve for x, we can multiply both sides of the equation by 2 to get rid of the 1/2 fraction:
2*(1/2)x = 2*18
x = 36
Therefore, it will take Jenny 36 months, not 12 months, to grow her hair to 18 inches.
First, we need to set up the equation to represent the situation. The given information states that Jenny's hair grows at a rate of 1/2 inch per month. Let x represent the number of months it takes for Jenny's hair to grow to a length of 18 inches.
Since her hair grows at a rate of 1/2 inch per month, we can say her hair length after x months is (1/2)x inches.
Now we can set up the equation:
(1/2)x = 18
To solve for x, we can multiply both sides of the equation by 2 to get rid of the 1/2 fraction:
2*(1/2)x = 2*18
x = 36
Therefore, it will take Jenny 36 months, not 12 months, to grow her hair to 18 inches.