Leighanne and Martin each have a savings account with a sum of money in it. Leighanne and Martin each begin to add a set amount of money each week.

Question

The graph shows the total amount in Leighanne's account each week.

Graph in the coordinate plane with title Leighannes bank account. Vertical axis goes from 0 to 180 in increments of 10 and is labeled amount saved in dollars. Horizontal axis goes from 0 to 8 in increments of 1 and is labeled time in weeks. A ray on the graph starts at point begin ordered pair 0 comma 15 end ordered pair and goes through point begin ordered pair 5 comma 265 end ordered pair.



The table shows the total amount in Martin's account each week.

Week Amount ($)
1 65
3 145
5 225
Which statements about the bank accounts are true?

Select each correct answer.



Responses

Leighanne had more money in her account than Martin when they started their weekly savings.
Leighanne had more money in her account than Martin when they started their weekly savings.

Martin saves $65 the first week.
Martin saves $65 the first week.

Leighanne saves $50 each week.
Leighanne saves $50 each week.

Leighanne is saving at a faster rate than Martin.

Answer 1

To determine which statements about Leighanne and Martin's bank accounts are true, let's analyze the information provided.

1. Leighanne had more money in her account than Martin when they started their weekly savings.

   • Leighanne's initial amount is $15 (as shown by the starting point of the graph at (0, 15)).
   • The table doesn't provide Martin's initial amount explicitly, but we can see that his amount after 1 week is $65. Therefore, Martin must have had at least $65, which means Leighanne had less money than Martin at the start. This statement is false.

2. Martin saves $65 the first week.

   • According to the table, Martin's amount after 1 week is $65, implying his savings on either that week or starting balance. However, we cannot conclude that he saves $65 weekly; we need the amount he adds each week which isn't explicitly given in the table. This statement is indeterminate without additional information but is not necessarily true based solely on the data given.

3. Leighanne saves $50 each week.

   • The graph shows that Leighanne's amount increases from $15 to $265 over 5 weeks.
   • This represents a total increase of $265 - $15 = $250 over 5 weeks, which means she saves $250 / 5 = $50 each week. This statement is true.

4. Leighanne is saving at a faster rate than Martin.

   • To determine this, we need to know how much Martin saves each week. We can estimate his weekly savings using the amounts from his table:
     • Week 1 to Week 3 (2 weeks): $145 - $65 = $80, so $80/2 = $40 per week.
     • Week 3 to Week 5 (2 weeks): $225 - $145 = $80, so $80/2 = $40 per week.
     • Thus, it seems Martin saves around $40 each week.
   • Since Leighanne saves $50 each week and Martin saves approximately $40 each week, Leighanne is saving at a faster rate than Martin. This statement is true.

Thus, the correct statements are:

• Leighanne saves $50 each week.
• Leighanne is saving at a faster rate than Martin.