Answer :
To solve this problem, we need to understand the relationship between frames and seconds in the context of Adam's film.
1. Understand the Context:
- Adam needs 24 frames per second for his animated film.
- He already has at least 250 frames.
2. Understand the Variables:
- Let [tex]\( f \)[/tex] be the number of frames.
- Let [tex]\( s \)[/tex] be the number of seconds of film that he can make.
3. Frames for Seconds:
- For each second of the film, 24 frames are needed, so [tex]\( f = 24 \times s \)[/tex].
4. Total Frames Requirement:
- Adam already has at least 250 frames. This means the total frames he has is at least [tex]\( 250 + 24 \times s \)[/tex] (since he continues to add more frames as per the requirement of the seconds).
5. Set Up the Inequality:
- Since he needs at least the frames required for the seconds plus the extra 250 he already has, the inequality that describes this situation would be:
[tex]\[
f \geq 24s - 250
\][/tex]
Thus, the correct inequality for this situation is [tex]\( f \geq 24s - 250 \)[/tex].
1. Understand the Context:
- Adam needs 24 frames per second for his animated film.
- He already has at least 250 frames.
2. Understand the Variables:
- Let [tex]\( f \)[/tex] be the number of frames.
- Let [tex]\( s \)[/tex] be the number of seconds of film that he can make.
3. Frames for Seconds:
- For each second of the film, 24 frames are needed, so [tex]\( f = 24 \times s \)[/tex].
4. Total Frames Requirement:
- Adam already has at least 250 frames. This means the total frames he has is at least [tex]\( 250 + 24 \times s \)[/tex] (since he continues to add more frames as per the requirement of the seconds).
5. Set Up the Inequality:
- Since he needs at least the frames required for the seconds plus the extra 250 he already has, the inequality that describes this situation would be:
[tex]\[
f \geq 24s - 250
\][/tex]
Thus, the correct inequality for this situation is [tex]\( f \geq 24s - 250 \)[/tex].
