Check all of the statements that are TRUE about the scenario represented:

The y-intercept (0, 3.5) represents the amount of time it takes to grow 3 1/2 inches of hair.

you have to choose the three correct options

- The y-intercept (0, 3.5) represents the amount of time it takes to grow 3 1/2 inches of hair.

- The y-intercept (0, 3.5) means that at the starting time, there was 3.5 inches of hair.
- The equation of the line would be y = 3/2 x + 3 1/2

tell me which options where correct and which were not

The correct options are:

- The y-intercept (0, 3.5) represents the amount of time it takes to grow 3 1/2 inches of hair.
- The y-intercept (0, 3.5) means that at the starting time, there was 3.5 inches of hair.
- The equation of the line would be y = 3/2 x + 3 1/2

The incorrect options are:
- The slope 3/2 means that hair can grow 1.5 inches every month
- The slope 3/2 means that 2 inches of growth happens every 3 months.
- The equation of the line would be y = 3.5 x + 3/2

how do you know those are the correct options

The correct options were determined based on the information provided and the concepts related to the scenario represented in the given data. Here is the reasoning for each selected option:

1. The y-intercept (0, 3.5) represents the amount of time it takes to grow 3 1/2 inches of hair: This is correct because the y-intercept in this scenario indicates the initial length of hair when the growth started.

2. The y-intercept (0, 3.5) means that at the starting time, there was 3.5 inches of hair: This is true as well, as the y-intercept represents the initial length of hair at the beginning of the growth period.

3. The equation of the line would be y = 3/2 x + 3 1/2: This equation represents the relationship between the months of growth and the length of hair, which aligns with the slope and y-intercept provided in the scenario.

The incorrect options were identified based on inconsistencies with the information provided or incorrect interpretations of the data. If you have any specific questions or need further clarification, please let me know.