Caissa can download a maximum of 1000 megabytes (MB) of songs or movies to her smartphone each month. The file size of each movie is 85 MB, and the file size of each song is 4 MB. Write an inequality that represents the number of movies (M) and songs (S) that Caissa can download each month.

Question

Aarav

Mathematics

5 July, 02:13

Caissa can download a maximum of 1000 megabytes (MB) of songs or movies to her smartphone each month. The file size of each movie is 85 MB, and the file size of each song is 4 MB. Write an inequality that represents the number of movies (M) and songs (S) that Caissa can download each month.

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Beckham Briggs · Answer 1

85M + 4S < 1000

Step-by-step explanation:

An inequality represents an expression that can have different values as long as the value is within the range given. In this case, the number of songs and movies that Caissa can download can not exceed 1000 MB. Since each move is 85 MB and each song is 4 MB, then any combination of these two files combined must not be larger than 1000 MB. Using the variable (M) for movies and (S) for songs, we can set up an expression 85M + 4S to represent the number of movies times 85 for each movie and the number of songs times 4 for each song. Since the total can be no greater than 1000, the expression would be less than or equal to (<) 1000 MB.