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 yy Ali has and the number of weeks xx 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+by = mx + b, where mm is the slope (rate of change per week) and bb is the initial value.

Substituting the values:

  • m=5m = 5 (savings per week)
  • b=25b = 25 (initial amount)

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

Final Answer:

The equation that represents the situation is: y=5x+25y = 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+by = mx + b, bb is always the starting value, and mm represents how much change happens per unit.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

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