Question

You decide to enroll in a plan that gives you a 10% discount if you make telephone calls between 7:00 p.m. and 6:00 a.m. The per minute charge is $0.10 and the sales tax is 6%. On the first month’s bill you used the phone for 130 minutes between 6:00 a.m. and 7:00 p.m. and then for 400 minutes between 7:00 p.m. and 6:00 a.m. How much was your total bill?
(1 point)
Responses

$56.18
$56.18

$53.00
$53.00

$51.94
$51.94

$49.00

Answer 1

To calculate the total bill, we need to break it down into two parts: the charges for calls made during the day (6:00 a.m. to 7:00 p.m.) and the charges for calls made at night (7:00 p.m. to 6:00 a.m.).

1. **Daytime Charges**:
- Minutes used: 130 minutes
- Rate: $0.10 per minute
- Total for daytime calls:
\[
130 \, \text{minutes} \times 0.10 \, \text{dollars/minute} = 13.00 \, \text{dollars}
\]

2. **Nighttime Charges**:
- Minutes used: 400 minutes
- Rate: $0.10 per minute
- Total for nighttime calls before discount:
\[
400 \, \text{minutes} \times 0.10 \, \text{dollars/minute} = 40.00 \, \text{dollars}
\]
- Discount (10%):
\[
10\% \, \text{of} \, 40.00 \, \text{dollars} = 4.00 \, \text{dollars}
\]
- Total for nighttime calls after discount:
\[
40.00 \, \text{dollars} - 4.00 \, \text{dollars} = 36.00 \, \text{dollars}
\]

3. **Total Charges Before Tax**:
- Total charges = Daytime charges + Nighttime charges:
\[
13.00 \, \text{dollars} + 36.00 \, \text{dollars} = 49.00 \, \text{dollars}
\]

4. **Sales Tax**:
- Sales tax: 6%
- Total tax amount:
\[
6\% \, \text{of} \, 49.00 \, \text{dollars} = 0.06 \times 49.00 = 2.94 \, \text{dollars}
\]

5. **Total Bill**:
- Total bill = Total charges + Sales tax:
\[
49.00 \, \text{dollars} + 2.94 \, \text{dollars} = 51.94 \, \text{dollars}
\]

Thus, the total bill is **$51.94**. Therefore, the correct response is:

$51.94