Tanvi wants to save some low-resolution photos and some high-resolution photos on her flash drive. Each low-resolution photo takes up 2 MB and each high-resolution photo takes up 3 MB. In total, they cannot exceed the total storage space available on the drive, which is 1,980 MB.

Question

Write 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 photos

Answer 1

To create an inequality that describes the storage situation for Tanvi's photos, we can use the information provided:

• Each low-resolution photo takes up 2 MB, which can be represented as \( 2x \) where \( x \) is the number of low-resolution photos.
• Each high-resolution photo takes up 3 MB, represented as \( 3y \) where \( y \) is the number of high-resolution photos.
• The total storage space available on the flash drive is 1,980 MB.

We want to ensure that the total storage used by both types of photos does not exceed the available storage of 1,980 MB.

The inequality that describes this situation can be written as:

\[ 2x + 3y \leq 1980 \]

This can be considered in standard form as \( 2x + 3y \leq 1980 \).