To fill in the missing parts of the table based on the scenario given (making 50 texts every 2 days):
- Determine the relationship between the number of days (x) and the number of texts (y):
- In 2 days, you send 50 texts.
- In 4 days, you send 100 texts.
- In 6 days, you send 150 texts.
- In 8 days, you send 200 texts.
- In 10 days, you send 250 texts.
- In 12 days, you would send 300 texts.
- In 14 days, you would send 350 texts.
Using this pattern, we can fill in the missing values in the table:
-
For x = 0 days, y = 0 texts (this will be 0).
-
For x = 7 days, since it's between 6 and 8 days, we can determine:
- 6 days = 150 texts
- 8 days = 200 texts
The average rate would mean approximately 175 texts after 7 days, considering equal increments.
-
For y = 75 texts, we can determine the corresponding days: This number of texts falls between:
- 50 texts at 2 days
- and 100 texts at 4 days.
So, half of the way would suggest it would happen roughly around 3 days (between 2 and 4).
- For y = 300 texts, we would determine that this occurs at 12 days.
Now you can fill in the respective values:
| x (number of days) | | 0 | 7 | | |---------------------|---|----|----|---| | y (number of texts) | | 0 | 175|300|
Final answers are:
- a. = 7
- b. = 3
- c. = 0
- d. = 75
- e. = 300
So filling in the table:
- a = 7
- b = 3
- c = 0
- d = 75