Answer :
Sure, let's work through this step by step.
Adam is creating an animated short film that requires 24 frames per second. He already has at least 250 frames. We need to find the inequality that represents the relationship between the number of frames [tex]\( f \)[/tex] and the number of seconds [tex]\( s \)[/tex] of film.
1. Understanding the Requirement:
- Adam needs 24 frames for each second of film.
- He has a minimum of 250 frames already.
2. Formulating the Inequality:
- For [tex]\( s \)[/tex] seconds of film, he would need [tex]\( 24 \times s \)[/tex] frames.
- He already has at least 250 frames, so the actual number of frames [tex]\( f \)[/tex] must be:
[tex]\[
f \geq 24s - 250
\][/tex]
- This inequality accounts for the frames he needs for [tex]\( s \)[/tex] seconds and the extra frames he already possesses.
Thus, the correct inequality to represent the situation is:
[tex]\[ f \geq 24s - 250 \][/tex]
This explains how the relationship between frames and seconds can be expressed, where [tex]\( f \)[/tex] is greater than or equal to 24 times [tex]\( s \)[/tex] minus 250.
Adam is creating an animated short film that requires 24 frames per second. He already has at least 250 frames. We need to find the inequality that represents the relationship between the number of frames [tex]\( f \)[/tex] and the number of seconds [tex]\( s \)[/tex] of film.
1. Understanding the Requirement:
- Adam needs 24 frames for each second of film.
- He has a minimum of 250 frames already.
2. Formulating the Inequality:
- For [tex]\( s \)[/tex] seconds of film, he would need [tex]\( 24 \times s \)[/tex] frames.
- He already has at least 250 frames, so the actual number of frames [tex]\( f \)[/tex] must be:
[tex]\[
f \geq 24s - 250
\][/tex]
- This inequality accounts for the frames he needs for [tex]\( s \)[/tex] seconds and the extra frames he already possesses.
Thus, the correct inequality to represent the situation is:
[tex]\[ f \geq 24s - 250 \][/tex]
This explains how the relationship between frames and seconds can be expressed, where [tex]\( f \)[/tex] is greater than or equal to 24 times [tex]\( s \)[/tex] minus 250.
