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 x=0x = 0, where xx typically represents time (like weeks) in this context.

Given:

  • Initial deposit: $45
  • Weekly deposit: $20

At x=0x = 0 (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 (0,45)(0, 45).

Correct Answer: (0,45)(0, 45)

Would you like more details, or do you have any questions?

Here are five questions related to this scenario:

  1. What is the slope of the graph, and what does it represent?
  2. How much money will Jason have after 4 weeks?
  3. How would the graph change if Jason increased his weekly deposit?
  4. What would the equation of the line be that represents Jason's savings over time?
  5. 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