Tanna opens a savings account and deposits money in the account every month. Examine the equation, where s

Question

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.

Answer 1

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.