Question
Nina wants to save some low-resolution photos and some high-resolution photos on her flash drive. Each low-resolution photo takes up 1 MB and each high-resolution photo takes up 4 MB. In total, they cannot exceed the total storage space available on the drive, which is 127 MB.
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
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
Answers
GPT-4o mini
To express the situation with an inequality, we will use the given variables \( x \) and \( y \):
- \( x \) represents the number of low-resolution photos, each taking up 1 MB.
- \( y \) represents the number of high-resolution photos, each taking up 4 MB.
The total space available on the flash drive is 127 MB. Therefore, the space taken up by both types of photos together must not exceed this limit.
The total space used by the photos can be expressed as:
\[ 1x + 4y \]
So, the inequality that describes this situation is:
\[
1x + 4y \leq 127
\]
To write this in standard form, we rearrange the inequality as follows:
\[
x + 4y \leq 127
\]
Thus, the inequality in standard form is:
\[
x + 4y \leq 127
\]
- \( x \) represents the number of low-resolution photos, each taking up 1 MB.
- \( y \) represents the number of high-resolution photos, each taking up 4 MB.
The total space available on the flash drive is 127 MB. Therefore, the space taken up by both types of photos together must not exceed this limit.
The total space used by the photos can be expressed as:
\[ 1x + 4y \]
So, the inequality that describes this situation is:
\[
1x + 4y \leq 127
\]
To write this in standard form, we rearrange the inequality as follows:
\[
x + 4y \leq 127
\]
Thus, the inequality in standard form is:
\[
x + 4y \leq 127
\]