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The image shows a math problem related to a savings account scenario where a student is saving money weekly. The problem has several parts:

1. **Initial Information:**
   - The student has $475 in a savings account.
   - She deposits $125 into the account every week.
   - Her goal is to save $7,000 for college.

2. **Questions:**
   - **(a)** How much will be in the account after 3 weeks?
   - **(b)** How long will it take before she has $1,350?
   - **(c)** Write an equation representing the relationship between the dollar amount in her account and the number of weeks of saving.
   - **(d)** Graph the equation and mark the points from part A and B on your graph.

### Solutions:

1. **(a) Amount after 3 weeks:**
   - The amount deposited each week: $125
   - Total amount after 3 weeks: 
     \[
     \text{Amount after 3 weeks} = 475 + (125 \times 3) = 475 + 375 = 850 \text{ dollars}
     \]
     However, the handwritten answer states $975, suggesting an initial error. Correcting this:
     \[
     \text{Correct amount after 3 weeks} = 475 + (125 \times 3) = 475 + 375 = 850 \text{ dollars}
     \]

2. **(b) Time to reach $1,350:**
   - Let the number of weeks be $ w $.
   - The equation:
     \[
     475 + 125w = 1350
     \]
   - Solving for $ w $:
     \[
     125w = 1350 - 475 = 875
     \]
     \[
     w = \frac{875}{125} = 7 \text{ weeks}
     \]
     The handwritten answer suggests it takes 6 weeks, which is incorrect based on the math. The correct time is 7 weeks.

3. **(c) Equation:**
   - Let $ w $ be the number of weeks, and $ A(w) $ be the amount in the account after $ w $ weeks:
     \[
     A(w) = 475 + 125w
     \]

4. **(d) Graphing:**
   - On a graph, the x-axis represents the number of weeks $ w $, and the y-axis represents the amount $ A(w) $.
   - Plot the points (3, 850) from part (a) and (7, 1350) from part (b).
   - The graph would be a straight line with a slope of 125, starting from $475.

Would you like more details or have any questions? 

### Related Questions:
1. What would be the amount after 10 weeks?
2. How many weeks would it take to reach exactly $5,000?
3. If the student started with $0, how many weeks would it take to reach $7,000?
4. How would the equation change if the weekly deposit was increased to $150?
5. What is the significance of the slope in the context of this problem?

### Tip:
Always recheck your calculations, especially when dealing with word problems, to ensure there are no simple arithmetic mistakes.

A student has a savings account with $475 in it. She deposits $125 of her paycheck into the account every week. Her goal is to save $7,000 for college.

(a) How much will be in the account after 3 weeks?
(b) How long will it take before she has $1,350?
(c) Write an equation that represents the relationship between the dollar amount in her account and the number of weeks of saving.
(d) Graph your equation and mark the points from part A and B on your graph.

Solve a savings problem where a student starts with $475 and deposits $125 weekly. Learn how to calculate the amount after 3 weeks, how long to reach $1,350, and write an equation to represent the relationship between weeks and savings. Suitable for Grades 7-9.

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