Math Problem Statement

ason decides to open a savings account to save money for a new apple watch. He makes an initial deposit of $45 and plans to deposit $20 per week from his part-time job.

What is the slope of the graph?

Solution

The slope of a graph in a situation like this represents the rate of change in Jason's savings over time. In this context, the slope is determined by how much Jason deposits into the account each week.

Jason plans to deposit $20 per week. Since the slope represents the rate of change in savings per week, the slope is:

slope=20\text{slope} = 20

This means the graph of his savings will increase by $20 each week.

Would you like further details or have any questions? Here are some related questions to expand on this information:

  1. What would be the equation of the line that models Jason's savings over time?
  2. How much money will Jason have saved after 5 weeks?
  3. How would the graph look after 10 weeks of saving?
  4. What happens if Jason decides to increase his weekly deposit?
  5. What is the y-intercept in this context?

Tip: The slope of a graph represents how fast something is changing over time—useful for interpreting trends!

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Slope of a Line

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9