Ali currently has \[tex]$25. He is going to start saving \$[/tex]5 every week.

Which equation represents this situation?

A. [tex]y = 25x - 5[/tex]

B. [tex]y = 5x + 25[/tex]

C. [tex]y = 25x + 5[/tex]

D. [tex]y = 5x - 25[/tex]



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]

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