Questions: The diaper service where you work bills customers once a week. Each week, it charges 24 each for the first 75 diapers used, and 24 each for any additional diapers. How much should you bill a family that used 150 diapers last week? a. 13.75 b. 27.50 c. 32.00 d. 45.75 e. 3,600 You are planning a trip by air between Seattle and Miami. The distance between these cities is 2,724 miles. You earn a free flight after you accumulate 25,000 miles of travel. How many round trips (back and forth) must you make to earn a free flight? a. 4 b. 5 c. 6 d. 8 e. 10 You are a receptionist at a doctor's office. A patient's bill for a checkup totals 45.00. The patient's health insurance requires the patient to pay 20% of the total bill. How much should the patient pay for the checkup? a. 7.50 b. 9.00 c. 11.00 d. 36.00 e. 45.00 You are scheduling a new delivery route and you need to find out how long it will take a driver to complete the route. You start the route at 9:50 A.M. and finish at 2:20 P.M. How long does it take to drive the route? a. 3 hours 30 minutes b. 4 hours 15 minutes c. 4 hours 30 minutes d. 5 hours 45 minutes

Solution Steps

To solve these problems, we will break them down into simple calculations:

1. Diaper Service Billing: Calculate the total cost for 150 diapers by considering the cost for the first 75 diapers and the additional cost for the remaining diapers.

2. Free Flight Calculation: Determine the number of round trips needed to accumulate at least 25,000 miles by calculating the total miles for one round trip and dividing 25,000 by this number.

3. Patient's Payment Calculation: Calculate 20% of the total bill to find out how much the patient needs to pay.

The diaper service charges $24 for each diaper. For the first 75 diapers, the cost is: \[ 75 \times 24 = 1800 \] For the additional 75 diapers (since 150 - 75 = 75), the cost is: \[ 75 \times 24 = 1800 \] Thus, the total cost for 150 diapers is: \[ 1800 + 1800 = 3600 \]

The distance for one round trip between Seattle and Miami is: \[ 2 \times 2724 = 5448 \text{ miles} \] To earn a free flight, you need 25,000 miles. The number of round trips required is: \[ \left\lceil \frac{25000}{5448} \right\rceil = 4 \]

The patient's health insurance requires them to pay 20% of the total bill. The total bill is $45.00, so the patient's payment is: \[ 45.00 \times 0.20 = 9.00 \]

Final Answer