Question

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

The graph represents the scenario.



(4 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Fill in the missing parts of the table:

x - # of days 0 a. 7 b.
y - # of texts c. 75 d. 300


a. Response area

b. Response area

c. Response area

d. Response area


Answer choices:
0
2
3
5
10
12
13
50
75
175

Answer 1

To fill in the missing parts of the table based on the provided scenario, we first need to determine the relationship between the number of days (x) and the number of texts (y).

From the description, you send 50 texts every 2 days. This means the rate of sending texts is:

\[
\text{Rate} = \frac{50 \text{ texts}}{2 \text{ days}} = 25 \text{ texts per day}
\]

Now we can fill in the table:

- **For \( x = 0 \) days**:
- **\( y \)** (number of texts): You have sent 0 texts yet (5. If you're at day 0, the number of texts is 0).

- **For \( x = a = 7 \) days**:
- Calculate texts: \( y = 25 \times 7 = 175 \)

- **For \( x = b \)** (we need to find out how many days corresponds to 300 texts):
- Set up the equation:
\[
300 = 25 \times x
\]
\[
x = \frac{300}{25} = 12 \text{ days}
\]

Now we can fill in the table:

- \( x - \) # of days
- 0 (already filled)
- 7 (given)
- 12 (value calculated for \( b \))

- \( y - \) # of texts
- 0 (for 0 days)
- 175 (for 7 days)
- 300 (for 12 days, which we calculated)

So the final table filled in will look like this:

\[
\begin{array}{|c|c|}
\hline
x - \text{ # of days} & 0 \quad 7 \quad 12 \\
\hline
y - \text{ # of texts} & 0 \quad 175 \quad 300 \\
\hline
\end{array}
\]

**Final Responses:**
- a. 12
- b. 12
- c. 0
- d. 175

Correct matching to answers:
- a -> 12
- b -> 12
- c -> 0
- d -> 175