Question
Tanna opens a savings account and deposits money in the account every month. Examine the equation, where s
is the balance of her savings account, and m
is time in months.
s=110.5m
Part A: Which statement is true about the given equation?
Part B: How long will it take Tanna to save $1,215.50?
Select two answers: one for Part A and one for Part B.
Responses
B: 12
months
B: 12 months
B: 120
months
B: 120 months
A: After 5
months, she has $552.50
saved.
A: After 5 months, she has 552 point 5 0 dollars saved.
B: 10
months
B: 10 months
B: 11
months
B: 11 months
A: After 4
months, she has $552.50
saved.
A: After 4 months, she has 552 point 5 0 dollars saved.
A: She puts $100.50
in her savings account every 5
months.
A: She puts 100 point 5 0 dollars in her savings account every 5 months.
A: After 5
months, she has $110.50
saved.
is the balance of her savings account, and m
is time in months.
s=110.5m
Part A: Which statement is true about the given equation?
Part B: How long will it take Tanna to save $1,215.50?
Select two answers: one for Part A and one for Part B.
Responses
B: 12
months
B: 12 months
B: 120
months
B: 120 months
A: After 5
months, she has $552.50
saved.
A: After 5 months, she has 552 point 5 0 dollars saved.
B: 10
months
B: 10 months
B: 11
months
B: 11 months
A: After 4
months, she has $552.50
saved.
A: After 4 months, she has 552 point 5 0 dollars saved.
A: She puts $100.50
in her savings account every 5
months.
A: She puts 100 point 5 0 dollars in her savings account every 5 months.
A: After 5
months, she has $110.50
saved.
Answers
Answered by
GPT-4o mini
Let's analyze the equation \( s = 110.5m \) to answer both parts of your question.
**Part A: Which statement is true about the given equation?**
To determine a true statement from the options:
1. **\( A: After 5 months, she has $552.50 saved. \)**
- If we calculate: \( s = 110.5 \times 5 = 552.5 \).
- This statement is **true**.
2. **\( A: After 4 months, she has $552.50 saved. \)**
- Calculate: \( s = 110.5 \times 4 = 442 \).
- This statement is **false**.
3. **\( A: After 5 months, she has $110.50 saved. \)**
- This is **false** since after 5 months, she has $552.50.
4. **\( A: She puts $100.50 in her savings account every 5 months. \)**
- This is **false** as she deposits $110.50 every month.
5. The correct statement is:
- **\( A: After 5 months, she has $552.50 saved. \)**
**Part B: How long will it take Tanna to save $1,215.50?**
To find out how many months it will take for her to reach that amount:
- Set \( s = 1215.50 \):
\[
1215.50 = 110.5m
\]
Now, solve for \( m \):
\[
m = \frac{1215.50}{110.5} = 11
\]
Therefore, it will take **11 months** for Tanna to save $1,215.50.
### Final Answers:
**Part A: A: After 5 months, she has $552.50 saved.**
**Part B: B: 11 months.**
**Part A: Which statement is true about the given equation?**
To determine a true statement from the options:
1. **\( A: After 5 months, she has $552.50 saved. \)**
- If we calculate: \( s = 110.5 \times 5 = 552.5 \).
- This statement is **true**.
2. **\( A: After 4 months, she has $552.50 saved. \)**
- Calculate: \( s = 110.5 \times 4 = 442 \).
- This statement is **false**.
3. **\( A: After 5 months, she has $110.50 saved. \)**
- This is **false** since after 5 months, she has $552.50.
4. **\( A: She puts $100.50 in her savings account every 5 months. \)**
- This is **false** as she deposits $110.50 every month.
5. The correct statement is:
- **\( A: After 5 months, she has $552.50 saved. \)**
**Part B: How long will it take Tanna to save $1,215.50?**
To find out how many months it will take for her to reach that amount:
- Set \( s = 1215.50 \):
\[
1215.50 = 110.5m
\]
Now, solve for \( m \):
\[
m = \frac{1215.50}{110.5} = 11
\]
Therefore, it will take **11 months** for Tanna to save $1,215.50.
### Final Answers:
**Part A: A: After 5 months, she has $552.50 saved.**
**Part B: B: 11 months.**