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Josie wants to save some low-resolution photos and some high-resolution photos on her flash drive. Each low-resolution photo takes up 2MB2\,\text{MB} and each high-resolution photo takes up 4MB4\,\text{MB}. In total, they cannot exceed the total storage space available on the drive, which is 80MB80\,\text{MB}.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of low-resolution photos\newliney=y = the number of high-resolution photos\newlineChoices:\newline(A) 2x+4y802x + 4y \geq 80\newline(B) 4x+2y804x + 2y \leq 80\newline(C) 2x+4y802x + 4y \leq 80\newline(D) 4x+2y804x + 2y \geq 80

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Q. Josie wants to save some low-resolution photos and some high-resolution photos on her flash drive. Each low-resolution photo takes up 2MB2\,\text{MB} and each high-resolution photo takes up 4MB4\,\text{MB}. In total, they cannot exceed the total storage space available on the drive, which is 80MB80\,\text{MB}.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of low-resolution photos\newliney=y = the number of high-resolution photos\newlineChoices:\newline(A) 2x+4y802x + 4y \geq 80\newline(B) 4x+2y804x + 2y \leq 80\newline(C) 2x+4y802x + 4y \leq 80\newline(D) 4x+2y804x + 2y \geq 80
  1. Calculate Low-Resolution Storage: Determine the storage space used by each low-resolution photo. Josie's low-resolution photos take up 2MB2\,\text{MB} each. If xx represents the number of low-resolution photos, then the total storage space used by these photos is 2xMB2x\,\text{MB}.
  2. Calculate High-Resolution Storage: Determine the storage space used by each high-resolution photo. Josie's high-resolution photos take up 4MB4\,\text{MB} each. If yy represents the number of high-resolution photos, then the total storage space used by these photos is 4yMB4y\,\text{MB}.
  3. Combine Storage Space: Combine the storage space used by both types of photos. To find the total storage space used by both low-resolution and high-resolution photos, we add the space used by each type. This gives us the expression 2x+4y2x + 4y MB for the total storage space used.
  4. Apply Storage Limitation: Apply the storage space limitation. Josie cannot exceed the total storage space available on the flash drive, which is 80MB80\,\text{MB}. Therefore, the total storage space used by both types of photos must be less than or equal to 80MB80\,\text{MB}. This gives us the inequality 2x+4y802x + 4y \leq 80.

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