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Answer :
Sure! Let's break down the problem and determine which inequality represents the situation.
Adam is creating an animated short film and needs 24 frames per second. He already has at least 250 frames. We want to find an inequality that represents the relationship between the number of frames [tex]\( f \)[/tex] and the number of seconds [tex]\( s \)[/tex] of film.
1. Understand the requirement: Adam needs 24 frames for each second of film. Therefore, if he has [tex]\( s \)[/tex] seconds of film, he needs at least [tex]\( 24s \)[/tex] frames just for those seconds alone.
2. Include the additional frames: Since Adam already has at least 250 frames in addition to what he needs for the seconds of film, the total number of frames [tex]\( f \)[/tex] should be the sum of the frames he needs for [tex]\( s \)[/tex] seconds plus these existing 250 frames.
3. Write the inequality: Combining these two facts, we can say that the number of frames [tex]\( f \)[/tex] must be at least the number of frames needed for [tex]\( s \)[/tex] seconds of film plus the 250 frames he already has. This gives us the inequality:
[tex]\[
f \geq 24s + 250
\][/tex]
This inequality correctly represents the situation. Adam's total number of frames [tex]\( f \)[/tex] must be greater than or equal to the combination of 24 frames per second of film [tex]\( s \)[/tex] plus the 250 frames he already has.
Adam is creating an animated short film and needs 24 frames per second. He already has at least 250 frames. We want to find an inequality that represents the relationship between the number of frames [tex]\( f \)[/tex] and the number of seconds [tex]\( s \)[/tex] of film.
1. Understand the requirement: Adam needs 24 frames for each second of film. Therefore, if he has [tex]\( s \)[/tex] seconds of film, he needs at least [tex]\( 24s \)[/tex] frames just for those seconds alone.
2. Include the additional frames: Since Adam already has at least 250 frames in addition to what he needs for the seconds of film, the total number of frames [tex]\( f \)[/tex] should be the sum of the frames he needs for [tex]\( s \)[/tex] seconds plus these existing 250 frames.
3. Write the inequality: Combining these two facts, we can say that the number of frames [tex]\( f \)[/tex] must be at least the number of frames needed for [tex]\( s \)[/tex] seconds of film plus the 250 frames he already has. This gives us the inequality:
[tex]\[
f \geq 24s + 250
\][/tex]
This inequality correctly represents the situation. Adam's total number of frames [tex]\( f \)[/tex] must be greater than or equal to the combination of 24 frames per second of film [tex]\( s \)[/tex] plus the 250 frames he already has.
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