Answer :
Sure! Let's break this problem down step-by-step.
Ali currently has \$25. That is his starting amount or initial savings.
Each week, Ali saves an additional \[tex]$5. This means that his savings increase by \$[/tex]5 each week.
We are required to find an equation that represents Ali's total savings after \( x \) weeks.
To begin with, the total savings Ali will have after \( x \) weeks can be expressed as:
1. The amount he initially had: \$25
2. Plus the amount he saves every week multiplied by the number of weeks: \( 5x \) (since he saves \$5 each week for \( x \) weeks)
Thus, the total savings \( y \) after \( x \) weeks can be represented by the equation:
[tex]\[ y = 5x + 25 \][/tex]
Let's review the given options to see which one matches our derived equation:
- \( y = 25x - 5 \) (This does not match our equation)
- \( y = 5x + 25 \) (This matches our equation)
- \( y = 25x + 5 \) (This does not match our equation)
- \( y = 5x - 25 \) (This does not match our equation)
Based on our detailed step-by-step solution, the correct equation that represents Ali's savings after \( x \) weeks is:
[tex]\[ y = 5x + 25 \][/tex]
Hence, the correct answer is:
[tex]\[ \boxed{2} \][/tex]
Ali currently has \$25. That is his starting amount or initial savings.
Each week, Ali saves an additional \[tex]$5. This means that his savings increase by \$[/tex]5 each week.
We are required to find an equation that represents Ali's total savings after \( x \) weeks.
To begin with, the total savings Ali will have after \( x \) weeks can be expressed as:
1. The amount he initially had: \$25
2. Plus the amount he saves every week multiplied by the number of weeks: \( 5x \) (since he saves \$5 each week for \( x \) weeks)
Thus, the total savings \( y \) after \( x \) weeks can be represented by the equation:
[tex]\[ y = 5x + 25 \][/tex]
Let's review the given options to see which one matches our derived equation:
- \( y = 25x - 5 \) (This does not match our equation)
- \( y = 5x + 25 \) (This matches our equation)
- \( y = 25x + 5 \) (This does not match our equation)
- \( y = 5x - 25 \) (This does not match our equation)
Based on our detailed step-by-step solution, the correct equation that represents Ali's savings after \( x \) weeks is:
[tex]\[ y = 5x + 25 \][/tex]
Hence, the correct answer is:
[tex]\[ \boxed{2} \][/tex]
