Jane opened a savings account and deposited $200. Every month, she deposits another $100. Select the graph that shows how much money will be in her savings account over time.(1 point)

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A coordinate graph shows the x-axis labeled as months ranging from 0 to 10 in 1 unit increments and the y-axis labeled as dollars ranging from 0 to 700 in increments of 100. Four unlabeled points are plotted as follows: left parenthesis 0 comma 200 right parenthesis, left parenthesis 2 comma 300 right parenthesis, left parenthesis 4 comma 400 right parenthesis, and left parenthesis 6 comma 500 right parenthesis. A solid arrow passes through these points.
Image with alt text: A coordinate graph shows the x-axis labeled as months ranging from 0 to 10 in 1 unit increments and the y-axis labeled as dollars ranging from 0 to 700 in increments of 100. Four unlabeled points are plotted as follows: left parenthesis 0 comma 200 right parenthesis, left parenthesis 2 comma 300 right parenthesis, left parenthesis 4 comma 400 right parenthesis, and left parenthesis 6 comma 500 right parenthesis. A solid arrow passes through these points.

A coordinate graph shows the x-axis labeled as months ranging from 0 to 10 in 1 unit increments and the y-axis labeled as dollars ranging from 0 to 700 in increments of 100. Four unlabeled points are plotted as follows: left parenthesis 0 comma 200 right parenthesis, left parenthesis 1 comma 300 right parenthesis, left parenthesis 2 comma 400 right parenthesis, and left parenthesis 3 comma 500 right parenthesis. A solid arrow passes through these points.
Image with alt text: A coordinate graph shows the x-axis labeled as months ranging from 0 to 10 in 1 unit increments and the y-axis labeled as dollars ranging from 0 to 700 in increments of 100. Four unlabeled points are plotted as follows: left parenthesis 0 comma 200 right parenthesis, left parenthesis 1 comma 300 right parenthesis, left parenthesis 2 comma 400 right parenthesis, and left parenthesis 3 comma 500 right parenthesis. A solid arrow passes through these points.

A coordinate graph shows the x-axis labeled as months ranging from 0 to 10 in 1 unit increments and the y-axis labeled as dollars ranging from 0 to 800 in increments of 100. Four unlabeled points are plotted as follows: left parenthesis 0 comma 200 right parenthesis, left parenthesis 1 comma 400 right parenthesis, left parenthesis 2 comma 600 right parenthesis, and left parenthesis 3 comma 800 right parenthesis. A solid arrow passes through these points.
Image with alt text: A coordinate graph shows the x-axis labeled as months ranging from 0 to 10 in 1 unit increments and the y-axis labeled as dollars ranging from 0 to 800 in increments of 100. Four unlabeled points are plotted as follows: left parenthesis 0 comma 200 right parenthesis, left parenthesis 1 comma 400 right parenthesis, left parenthesis 2 comma 600 right parenthesis, and left parenthesis 3 comma 800 right parenthesis. A solid arrow passes through these points.

A coordinate graph shows the x-axis labeled as months ranging from 0 to 10 in 1 unit increments and the y-axis labeled as dollars ranging from 0 to 700 in increments of 100. Three unlabeled points are plotted as follows: left parenthesis 0 comma 200 right parenthesis, left parenthesis 3 comma 400 right parenthesis, and left parenthesis 6 comma 600 right parenthesis. A solid arrow passes through these points.
Image with alt text: A coordinate graph shows the x-axis labeled as months ranging from 0 to 10 in 1 unit increments and the y-axis labeled as dollars ranging from 0 to 700 in increments of 100. Three unlabeled points are plotted as follows: left parenthesis 0 comma 200 right parenthesis, left parenthesis 3 comma 400 right parenthesis, and left parenthesis 6 comma 600 right parenthesis. A solid arrow passes through these points.
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Answer 1

To determine which graph accurately represents Jane's savings over time, we need to analyze her savings account activity:

1. Initial Deposit: Jane starts with $200.
2. Monthly Deposit: She deposits an additional $100 every month.

We can calculate her total savings at the end of each month:

• Month 0: \( 200 + 0 \times 100 = 200 \)
• Month 1: \( 200 + 1 \times 100 = 300 \)
• Month 2: \( 200 + 2 \times 100 = 400 \)
• Month 3: \( 200 + 3 \times 100 = 500 \)
• Month 4: \( 200 + 4 \times 100 = 600 \)
• Month 5: \( 200 + 5 \times 100 = 700 \)
• Month 6: \( 200 + 6 \times 100 = 800 \)

Now let's compare the graphs based on the calculated points:

• (0, 200)
• (1, 300)
• (2, 400)
• (3, 500)
• (4, 600)
• (5, 700)
• (6, 800)

From the descriptions of the provided graphs, the correct graph should show the points calculated above:

• The second graph shows:
  • \( (0, 200) \)
  • \( (1, 300) \)
  • \( (2, 400) \)
  • \( (3, 500) \)

This graph shows the correct increases each month, indicating that Jane adds $100 monthly in addition to her initial deposit.

Therefore, the second graph correctly illustrates how much money will be in her savings account over time.