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 $120 per hour, what is the total cost of the session?
- A$160.00
- B$180.00
- C$240.00
- D$200.00
Show answer & explanationAnswer & explanation
Correct answer: D. $200.00
Convert 1 hour and 40 minutes to hours: 1 hour + (40 minutes / 60 minutes/hour) = 1 + 2/3 = 1.666... hours. Then multiply by the hourly rate: 1.666... hours * $120/hour = $200.00.
Why the other options are wrong
- A. This might come from calculating 1 hour at $120 and 40 minutes as 40/100 of an hour, which is incorrect.
- B. This is the cost for 1.5 hours ($120 * 1.5 = $180).
- C. This is the cost for 2 hours, overestimating the session duration.
Time Proration (Hourly Rate)
Calculating a cost or amount based on a rate per unit of time, where the time duration is not a whole number of units and needs conversion.
- Time must be in a consistent unit (e.g., all hours or all minutes).
- Fractions of an hour need to be converted to decimals (e.g., 30 min = 0.5 hr).
- Multiply the rate by the total time in the consistent unit.
Memory trick: Convert minutes to a decimal hour, then multiply by the rate, that's your power!