Eliana takes photos and videos on her phone. Let P represent the number of photos and V represent the number of videos that Eliana can take using her storage space. 15P+70V < 400, Eliana wants to take 12 photos. How many videos at most can she take with the remaining storage space?

Respuesta :

Answer:

She can take at most 3 videos.

Step-by-step explanation:

Here, P represent the number of photos and V represent the number of videos that Eliana can take using her storage space.

Also, the given inequality that shows this situation is,

[tex]15P+70V < 400------(1)[/tex]

If Eliana wants to take 12 photos.

⇒ P = 12,

From inequality (1),

[tex]15\times 12+70V<400[/tex]

[tex]180+70V<400[/tex]

[tex]70V<400-180[/tex]

[tex]70V<220[/tex]

[tex]V<\frac{22}{7}\approx 3.14[/tex]

Since, the number of videos must be whole number,

Hence, the maximum number of videos she can take is 3. ( By the above inequality )

The number of videos she can take with the remaining storage space is less than 4

Given the inequality expression representing the storage space as

15P+70V < 400

where:

  • P represents the number of photos and;
  • V represents the number of videos that Eliana can take using her storage space.

Given P = 12, the expression becomes;

15(12)+70V < 400

180 + 70 V < 400

70V < 400 - 120

70V < 280

V < 4

Hence the number of videos she can take with the remaining storage space is less than 4

Learn more on inequality here: https://brainly.com/question/12371526

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