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)

Question

Responses

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 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 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.
Skip to navigation

Answer 1

To determine which graph accurately represents Jane's savings account balance over time, let's analyze her situation.

• Jane starts with an initial deposit of $200.
• Every month thereafter, she deposits an additional $100.

To calculate the total amount in her savings account after each month:

• At month 0:
  Total = $200 (initial deposit)

• At month 1:
  Total = $200 + $100 = $300

• At month 2:
  Total = $300 + $100 = $400

• At month 3:
  Total = $400 + $100 = $500

• At month 4:
  Total = $500 + $100 = $600

• At month 5:
  Total = $600 + $100 = $700

Based on this pattern, we see that the values increase by $100 each month following the initial deposit. Therefore, the sequence of total amounts at the end of each month is:

• Month 0: 200
• Month 1: 300
• Month 2: 400
• Month 3: 500
• Month 4: 600
• Month 5: 700

Now looking at the provided options, the correct graph must have the plotted points:

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

The first option states the following points: (0, 200), (1, 300), (2, 400), (3, 500). This aligns perfectly with the data we calculated.

Thus, the correct graph showing how much money will be in Jane's savings account over time is the first option.