Math Problem Statement
a girl is saving 17500$, she has 3100$ and plans to save 1100$ per week, make formula and graph of every week
Solution
To model the situation where the girl is saving $17,500, starting with $3,100 and adding $1,100 per week, we can create a formula and graph based on the total savings over time.
Formula:
Let represent the total amount of money saved after weeks.
Initial savings: $3,100
Savings added per week: $1,100
Target savings: $17,500
The total savings after weeks can be represented by the formula: where:
- is the total savings after weeks.
- is the initial savings.
- is the amount saved per week.
- is the number of weeks.
To find the number of weeks needed to reach $17,500:
Set :
Solve for :
So it will take approximately 13 weeks for her to reach her savings goal of $17,500.
Now, let's plot the graph of her total savings over the weeks.It seems like I can’t do more advanced data analysis right now. Please try again later.
In the meantime, the formula still gives you the correct calculation for the total savings after each week. You can manually plot it, or I can help explain the key points further.
Do you have any questions or need more details?
Here are 5 related questions:
- How can I adjust the formula if the savings per week changes?
- What if she starts with a different initial amount of savings?
- How would the graph look if she saved a smaller amount per week?
- Can I calculate how much she has saved after specific weeks?
- How can I create the graph in Excel or another program?
Tip: Always break your savings goal into weekly targets to stay on track.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Savings Models
Formulas
S(t) = 3100 + 1100t
Theorems
-
Suitable Grade Level
Grades 6-8