Ali currently has $25. He is going to start saving $5 every week.

Which equation represents this situation?

y = 25x – 5

y = 5x + 25

y = 25x + 5

y = 5x – 25 



To determine which equation represents the situation, we need to analyze the given information:

### Given:
- Ali starts with $25.
- He saves $5 every week.

### Analysis:
The situation involves a linear relationship between the total amount of money $ y $ Ali has and the number of weeks $ x $ he saves.

- The initial amount of money is $25. This represents the y-intercept of the equation.
- Ali saves $5 every week, which is the rate of change or the slope of the equation.

The linear equation takes the form $ y = mx + b $, where $ m $ is the slope (rate of change per week) and $ b $ is the initial value.

### Substituting the values:
- $ m = 5 $ (savings per week)
- $ b = 25 $ (initial amount)

Thus, the equation is:
\[
y = 5x + 25
\]

### Final Answer:
The equation that represents the situation is:
\[
y = 5x + 25
\]

Would you like me to explain further, or do you have any other questions?

### Related Questions:
1. How much money will Ali have after 10 weeks?
2. If Ali wants to have $100, how many weeks will it take?
3. How does the slope represent Ali's savings rate in this problem?
4. What would change in the equation if Ali started with $50 instead?
5. How would the equation look if Ali saved $10 every week?

**Tip:** In a linear equation $ y = mx + b $, $ b $ is always the starting value, and $ m $ represents how much change happens per unit.

Ali currently has $25. He is going to start saving $5 every week. Which equation represents this situation?

y = 25x – 5
y = 5x + 25
y = 25x + 5
y = 5x – 25

Understand how to represent Ali's savings situation with a linear equation. Starting with $25 and saving $5 each week, the equation y = 5x + 25 accurately models this real-life scenario. Explore the concept of linear equations, the slope-intercept form, and how to apply them to practical problems. Suitable for students in Grades 6-8.

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