Question

Over the summer, you text a bunch. Let’s say you make 50 texts every 2 days.

Drag and drop

Fill in the missing parts of the table:




x - # of days 0 3 7 12
y - # of texts Response area 75 175 Response area
This is a Response area relationship because it is Linear with the y-intercept at Response area

Options for response areas:
0
2
5
25
125
300
Proportional
Nonproportional
(0, 0)
(25, 0)
(0, 125)

Answer 1

To fill in the table and determine the missing parts, let's first calculate the number of texts (y) for each given number of days (x).

Given that you make 50 texts every 2 days, we can find the rate of text messaging as follows:

- Rate of texts = 50 texts / 2 days = 25 texts per day.

Now we can calculate the number of texts (y) for the given values of days (x):

1. **x = 0 days**:
- y = 25 texts/day * 0 days = 0 texts

2. **x = 3 days**:
- y = 25 texts/day * 3 days = 75 texts

3. **x = 7 days**:
- y = 25 texts/day * 7 days = 175 texts

4. **x = 12 days**:
- y = 25 texts/day * 12 days = 300 texts

Now, we fill in the table with the calculated values:

| x - # of days | 0 | 3 | 7 | 12 |
|---------------|-----|-----|-----|-----|
| y - # of texts | 0 | 75 | 175 | 300 |

Now we can address each of the response area parts in the statement:

- This is a **Proportional** relationship because the ratio of texts to days is constant (25 texts per day).
- The y-intercept is at **(0, 0)** because when there are 0 days, there are 0 texts.

So the filled information is:

- Response area for # of texts at 0 days: **0**
- Response area for # of texts at 3 days: **75**
- Response area for # of texts at 7 days: **175**
- Response area for # of texts at 12 days: **300**
- Type of relationship: **Proportional**
- y-intercept: **(0, 0)**