Math Problem Statement
Jason 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 y-intercept of the graph? (45,0) (0,45) (20,0) (0,20) (0,35)
Solution
To determine the y-intercept of the graph, we need to understand that the y-intercept is the point where the graph intersects the y-axis. This occurs when , where typically represents time (like weeks) in this context.
Given:
- Initial deposit: $45
- Weekly deposit: $20
At (which represents the time before any weekly deposits have been made), the total amount in the savings account is just the initial deposit of $45.
So, the y-intercept is the point .
Correct Answer:
Would you like more details, or do you have any questions?
Here are five questions related to this scenario:
- What is the slope of the graph, and what does it represent?
- How much money will Jason have after 4 weeks?
- How would the graph change if Jason increased his weekly deposit?
- What would the equation of the line be that represents Jason's savings over time?
- How long will it take Jason to save enough money for a $300 Apple Watch?
Tip: When interpreting graphs, the y-intercept is always the initial value before any changes (like time passing or additional deposits) are applied.
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Math Problem Analysis
Mathematical Concepts
Linear equations
Slope-Intercept Form
Graphs
Formulas
y = mx + b (Slope-Intercept Form)
Theorems
Intercept Theorem
Suitable Grade Level
Grades 6-8