Question

The amount of money Joaquin took out of his bank account in January is shown on the vertical number line below.

A point is 20 units below 0.

Joaquin then added $65.71 to his account in February. What was the overall change in Joaquin’s bank account for January and February combined?

A.
−
$
85
.
71

B.
−
$
45
.
71

C.
$
45
.
71

D.
$
85
.
71

Answer 1

To find the overall change in Joaquin's bank account for January and February combined, we need to determine his bank account changes for each month.

1. **January**: The problem states that the point is 20 units below 0, which means Joaquin took out $20. Therefore, for January, the change is:
\[
\text{Change in January} = -20
\]

2. **February**: Joaquin added $65.71 to his account, which means for February, the change is:
\[
\text{Change in February} = +65.71
\]

3. **Overall Change**: Now to find the overall change in his bank account for January and February combined, we add the changes from both months:
\[
\text{Overall Change} = \text{Change in January} + \text{Change in February}
\]
\[
\text{Overall Change} = -20 + 65.71
\]
\[
\text{Overall Change} = 45.71
\]

So the overall change in Joaquin's bank account for January and February combined is:

\[
\text{Overall Change} = \$45.71
\]

Thus, the correct answer is:

**C. $45.71**