Math Problem Statement
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
Solution
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 Ali has and the number of weeks 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 , where is the slope (rate of change per week) and is the initial value.
Substituting the values:
- (savings per week)
- (initial amount)
Thus, the equation is:
Final Answer:
The equation that represents the situation is:
Would you like me to explain further, or do you have any other questions?
Related Questions:
- How much money will Ali have after 10 weeks?
- If Ali wants to have $100, how many weeks will it take?
- How does the slope represent Ali's savings rate in this problem?
- What would change in the equation if Ali started with $50 instead?
- How would the equation look if Ali saved $10 every week?
Tip: In a linear equation , is always the starting value, and represents how much change happens per unit.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
y = mx + b
Theorems
Slope-Intercept Form of a Linear Equation
Suitable Grade Level
Grades 6-8
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