Question

Three friends, Bilquis, Penelope, and Zachary are saving different amounts of money each week. Bilquis started with $7 and added $15 every week. Penelope's savings are represented by the table below, and Zachary's savings are represented by the graph below. Penelope's Savings Weeks left parenthesis x right parenthesisWeeks (x) Total Savings left parenthesis y right parenthesisTotal Savings (y) 22 dollar sign, 55$55 66 dollar sign, 125$125 1010 dollar sign, 195$195 1414 dollar sign, 265$265 0 Weeks Total Savings (Dollars) x y 0 Weeks Total Savings (Dollars) Zachary's Savings (0,$24) (10,$99) Select the option which sorts the three friends in order from least to greatest dollar amount saved per week.

Answer 1

To determine the amount each friend saves per week, let's analyze the data provided for each person.

1. **Bilquis**:
- Starting amount: $7
- Weekly addition: $15
- So, Bilquis saves $15 per week.

2. **Penelope**:
- Based on the provided table:
- At 2 weeks, Penelope has $55, which means she saved $55 - $0 = $55 in 2 weeks, or \( \frac{55}{2} = 27.5 \) dollars per week.
- At 6 weeks, Penelope has $125, which means she saved $125 - $55 = $70 in 4 weeks, or \( \frac{70}{4} = 17.5 \) dollars per week.
- At 10 weeks, Penelope has $195, which means she saved $195 - $125 = $70 in 4 weeks, or \( \frac{70}{4} = 17.5 \) dollars per week.
- At 14 weeks, Penelope has $265, which means she saved $265 - $195 = $70 in 4 weeks, or \( \frac{70}{4} = 17.5 \) dollars per week.

Thus, Penelope's savings appear to increase steadily at a rate of $17.5 per week.

3. **Zachary**:
- From the points given in the graph:
- From (0, $24) to (10, $99):
- It indicates that from week 0 to week 10, Zachary's savings increased from $24 to $99.
- The increase in savings is $99 - $24 = $75 over 10 weeks, or \( \frac{75}{10} = 7.5 \) dollars per week.

Now we can summarize the weekly savings for each friend:

- Bilquis: $15 per week
- Penelope: $17.5 per week
- Zachary: $7.5 per week

Ordering from least to greatest savings per week:

1. Zachary: $7.5
2. Bilquis: $15
3. Penelope: $17.5

Thus, the order from least to greatest dollar amount saved per week is: **Zachary, Bilquis, Penelope**.