Math Problem Statement
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Tara starts with $80 in her bank account. She takes out $15 each week to spend. Based on the table provided, what is the equation representing her account balance after x weeks?
Solution
The problem shows Tara starting with $80 in her bank account and withdrawing $15 each week, which reduces her balance. The table lists the number of weeks and the corresponding account balance .
To form the equation, we can observe that:
- The starting balance at is $80.
- Tara withdraws $15 every week, which means her balance decreases by $15 for each additional week.
The equation for this scenario can be written as:
Now, for the equation in the blank format: The left side will be , and the right side will be , so:
Does this clarify things for you? Let me know if you'd like further details!
Here are 5 related questions to consider:
- What would the equation be if Tara withdrew $20 each week instead of $15?
- How many weeks will it take for Tara's account to reach $0?
- What is the rate of change in her account balance per week?
- Can you express the number of weeks as a function of the account balance ?
- How would the equation change if Tara started with $100 instead of $80?
Tip: To find the equation of a line from a table, look for the initial value and the rate of change (slope).
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Algebra
Formulas
y = 80 - 15x
Theorems
Slope-Intercept Form (y = mx + b)
Suitable Grade Level
Grade 7-8