Question
Ronald wants to save some low-resolution photos and some high-resolution photos on his flash drive. Each low-resolution photo takes up 1 MB and each high-resolution photo takes up 5 MB. In total, they cannot exceed the total storage space available on the drive, which is 1,400 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
Answered by
GPT-4o mini
To express the storage constraint in standard form, we can write an inequality based on the given information:
1. Each low-resolution photo occupies 1 MB, so for \( x \) low-resolution photos, the total space taken is \( 1x \) MB.
2. Each high-resolution photo occupies 5 MB, so for \( y \) high-resolution photos, the total space taken is \( 5y \) MB.
3. The total storage capacity of the flash drive is 1,400 MB.
Combining these points, the inequality that represents the storage constraint is:
\[
1x + 5y \leq 1400
\]
In standard form, this inequality can be written as:
\[
x + 5y \leq 1400
\]
This inequality describes the relationship between the number of low-resolution photos \( x \) and high-resolution photos \( y \) that Ronald can store on his flash drive without exceeding the storage limit.
1. Each low-resolution photo occupies 1 MB, so for \( x \) low-resolution photos, the total space taken is \( 1x \) MB.
2. Each high-resolution photo occupies 5 MB, so for \( y \) high-resolution photos, the total space taken is \( 5y \) MB.
3. The total storage capacity of the flash drive is 1,400 MB.
Combining these points, the inequality that represents the storage constraint is:
\[
1x + 5y \leq 1400
\]
In standard form, this inequality can be written as:
\[
x + 5y \leq 1400
\]
This inequality describes the relationship between the number of low-resolution photos \( x \) and high-resolution photos \( y \) that Ronald can store on his flash drive without exceeding the storage limit.