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------------------------------------------------ Adam is creating an animated short film and needs 24 frames per second of film. He already has at least 250 frames.

Which inequality represents this situation where [tex]f[/tex] is the number of frames and [tex]s[/tex] is the number of seconds of film?

A. [tex]f \geq 24s + 250[/tex]

B. [tex]s \geq 24f + 250[/tex]

C. [tex]f \geq 24s - 250[/tex]

D. [tex]\cdot \geq 24f - 250[/tex]

To solve the problem where Adam needs 24 frames per second of film and already has at least 250 frames, we need to determine an inequality that represents the situation.

1. Understanding the Requirement:
- Adam needs 24 frames for each second of the film. This means if he has [tex]\( s \)[/tex] seconds of film, he will need [tex]\( 24 \times s \)[/tex] frames.

2. Inclusion of Additional Frames:
- Besides the frames needed per second, Adam already has at least 250 frames available.

3. Formulating the Inequality:
- Since Adam already has 250 frames, the total number of frames [tex]\( f \)[/tex] he either has or needs is reflected as the sum of the frames required for the seconds plus those extra 250 frames. Therefore, the inequality that shows he has at least this amount is:
[tex]\[
f \geq 24s + 250
\][/tex]

This inequality means the number of frames [tex]\( f \)[/tex] should be greater than or equal to the total frames required for [tex]\( s \)[/tex] seconds (24 frames per second) plus the additional 250 frames he already has. Thus, the correct representation of the situation in terms of inequality is:
[tex]\[
f \geq 24s + 250
\][/tex]