ATI TEAS (Test of Essential Academic Skills) Version 7MathematicsMedium
A patient's physical therapy session lasted for 1 hour and 40 minutes. If the therapist charges $75 per hour, how much should the patient be billed for this session?
- A$112.50
- B$100.00
- C$150.00
- D$125.00
Show answer & explanationAnswer & explanation
Correct answer: D. $125.00
To calculate the total cost, convert the session duration entirely into hours. 1 hour and 40 minutes is 1 hour and (40/60) of an hour, which simplifies to 1 hour and 2/3 of an hour, or 1.666... hours. Multiply this total hourly duration by the hourly rate of $75.
Why the other options are wrong
- A. This would be 1 hour and 30 minutes (90 minutes), or 1.5 hours.
- B. This would be 1 hour and 20 minutes (80 minutes), not 1 hour and 40 minutes.
- C. This would be 2 hours, which is longer than the session duration.
Time Proration (Hourly Rate)
Calculating a cost or value based on a rate per hour and a duration that includes partial hours, requiring conversion of minutes to a fractional part of an hour.
- Convert minutes to a decimal or fractional part of an hour.
- Multiply the total hours by the hourly rate.
- Often used in billing for services like therapy or consulting.
Memory trick: Minutes to Fractions, Then Total for Transactions.