Erik wants to save some low-resolution photos and some high-resolution photos on his flash drive. Each low-resolution photo takes up 1MB and each high-resolution photo takes up 4MB. In total, they cannot exceed the total storage space available on the drive, which is 1,970MB. Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. x= the number of low-resolution photos y= the number of high-resolution photosChoices:(A) 4+x+1+y≤1,970(B) x+4y≤1,970(C) 1+x+4+y≤1,970(D) 4x+y≤1,970
Q. Erik wants to save some low-resolution photos and some high-resolution photos on his flash drive. Each low-resolution photo takes up 1MB and each high-resolution photo takes up 4MB. In total, they cannot exceed the total storage space available on the drive, which is 1,970MB. Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. x= the number of low-resolution photos y= the number of high-resolution photosChoices:(A) 4+x+1+y≤1,970(B) x+4y≤1,970(C) 1+x+4+y≤1,970(D) 4x+y≤1,970
Define Variables: Define the variables in terms of the problem's context. We are given that x represents the number of low-resolution photos and y represents the number of high-resolution photos. Each low-resolution photo takes up 1MB and each high-resolution photo takes up 4MB.
Low-Resolution Storage: Write an expression for the total storage used by the low-resolution photos. Since each low-resolution photo takes up 1MB, the total storage for x low-resolution photos is 1×x or simply xMB.
High-Resolution Storage: Write an expression for the total storage used by the high-resolution photos. Since each high-resolution photo takes up 4MB, the total storage for y high-resolution photos is 4∗y or 4yMB.
Total Storage: Combine the expressions from Step 2 and Step 3 to get the total storage used by both types of photos. This gives us x+4y MB as the total storage used.
Total Storage Inequality: We know that the total storage used by both types of photos cannot exceed the total storage space available on the drive, which is 1,970 MB. Therefore, the inequality that represents this situation is x+4y≤1,970.
Match with Choices: Match the inequality from Step 5 with the given choices. The correct inequality that matches is (B)x+4y≤1,970.
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