To help Jackson determine how many songs and videos he can download, we need to establish two inequalities based on the conditions given in the problem.
### Conditions Given:
1. Jackson has 50 MB of space on his smartphone.
2. Each song uses 3.5 MB of space.
3. Each video uses 7 MB of space.
4. Jackson wants to download at least 10 media files in total.
### Formulating the Inequalities:
1. Space Constraint:
The total space consumed by the media files (songs and videos) must not exceed 50 MB. If [tex]\(x\)[/tex] represents the number of songs and [tex]\(y\)[/tex] represents the number of videos:
[tex]\[ 3.5x + 7y \leq 50 \][/tex]
2. Minimum Number of Files Constraint:
The total number of media files must be at least 10.
[tex]\[ x + y \geq 10 \][/tex]
Therefore, the pair of inequalities that specify the number of song files [tex]\(x\)[/tex] and video files [tex]\(y\)[/tex] that Jackson can download is:
[tex]\[ \begin{aligned}
3.5x + 7y & \leq 50 \\
x + y & \geq 10
\end{aligned} \][/tex]
### Answer:
The correct choice is:
A.
[tex]\[ \begin{aligned}
3.5x + 7y & \leq 50 \\
x + y & \geq 10
\end{aligned} \][/tex]
