created part of a table to show her savings. She saved at the same rate each week.

Samantha’s Savings
Week
1
2
3
4
Money Saved

$18
$24

Which graph shows this relationship?
On a coordinate plane, a graph titled Weekly Savings has weeks on the x-axis and money saved on the y-axis. Points (1, 8), (2, 16), (3, 18), and (4, 24) are plotted.

On a coordinate plane, a graph titled Weekly Savings has weeks on the x-axis and money saved on the y-axis. Points (1, 6), (2, 12), (3, 18), and (4, 24) are plotted.

On a coordinate plane, a graph titled Weekly Savings has weeks on the x-axis and money saved on the y-axis. Points (1, 9), (2, 18), (3, 18), and (4, 24) are plotted.

On a coordinate plane, a graph titled Weekly Savings has weeks on the x-axis and money saved on the y-axis. Points (1, 0), (2, 9), (3, 18), and (4, 24) are plotted.

1 answer

To determine which graph correctly represents Samantha's savings, we need to analyze the provided money saved each week and identify the pattern.

Given that Samantha saved the same amount each week, we see:

  • Week 1: $18
  • Week 2: $24

To find out how much she is saving each week, we can calculate the difference in the amount saved from Week 1 to Week 2:

  • Difference: $24 - $18 = $6

This indicates that Samantha is saving $6 each week.

Now, we can calculate the money saved for Week 3 and Week 4 based on this savings rate:

  • Week 3: $24 + $6 = $30
  • Week 4: $30 + $6 = $36

In summary, the savings by week are:

  • Week 1: $18
  • Week 2: $24
  • Week 3: $30
  • Week 4: $36

Now, let's look at the possible coordinates from the graphs provided:

  1. Points (1, 8), (2, 16), (3, 18), (4, 24) - does not match the savings pattern.
  2. Points (1, 6), (2, 12), (3, 18), (4, 24) - does not match the savings pattern.
  3. Points (1, 9), (2, 18), (3, 18), (4, 24) - does not match the savings pattern.
  4. Points (1, 0), (2, 9), (3, 18), (4, 24) - does not match the savings pattern.

Based on my calculations, none of these graphs correctly reflect the savings. The correct points based on our calculations would be:

  • (1, 18)
  • (2, 24)
  • (3, 30)
  • (4, 36)

However, as per the values you provided, it seems there's been a miscommunication regarding the exact savings pattern provided. Please double-check the values if they are accurate or if additional points are needed to clarify the relationships.