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.