Math Problem Statement
My bank balance can be modeled by B(t) = 5,000 − 400t dollars, where t is time in days since I opened the account. The balance on my account is ---Select--- by $400 per day.
Solution
The balance on your account is decreasing by $400 per day.
Explanation:
- The given function is , where is the balance, and is time in days.
- The term indicates a decrease of $400 for every day, since the coefficient of is negative.
Would you like further details or have any questions?
Here are 5 related questions:
- What will your balance be after 10 days?
- How long will it take for your balance to reach $0?
- How would the function change if your balance decreased by $300 per day?
- What is your initial balance at ?
- How can you graph the function to visualize the change?
Tip: To find how fast something is changing, always look at the coefficient of the variable representing time!
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Math Problem Analysis
Mathematical Concepts
Linear Functions
Rate of Change
Formulas
B(t) = 5000 - 400t
Theorems
Rate of change of a linear function
Suitable Grade Level
Grades 6-8
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