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
.
71The 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

1 answer

To determine the overall change in Joaquin’s bank account for January and February combined, we first need to establish the amounts involved.

  1. In January, Joaquin took out $20. This is represented as \(-20\) (since it is money taken out).

  2. In February, Joaquin added $65.71 to his account. This is a positive change, so we represent it as \(+65.71\).

Next, we can calculate the overall change by combining these two amounts:

\[ \text{Overall Change} = \text{Change in January} + \text{Change in February} \] \[ \text{Overall Change} = -20 + 65.71 \]

Now, we perform the calculation:

\[ -20 + 65.71 = 65.71 - 20 = 45.71 \]

Thus, the overall change in Joaquin's bank account for January and February combined is \($45.71\).

The correct answer is:

C. $45.71