The service fee of physical therapist varies directly as the number of hours n of service rendered A physical therapist charges Php 2,100.00 for 3hours service to patient in a home care. How much would he be paid for 6 ½ hours of service.
6 * 1/2 = 3 hours
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2,100*3] / 0.5 = asdfg
The service
To find out how much the physical therapist would be paid for 6 ½ hours of service, we need to find the constant of variation first.
We know that the service fee varies directly as the number of hours of service rendered. This means that we can set up a proportional relationship using direct variation:
Service fee = k * hours of service
Where k is the constant of variation.
To find the value of k, we can use the given information: the physical therapist charges Php 2,100.00 for 3 hours of service. Let's plug in these values into the equation:
2,100 = k * 3
To find k, we need to isolate it by dividing both sides of the equation by 3:
k = 2,100 / 3
k ≈ 700
Now that we have the value of k, we can substitute it back into the equation to find the service fee for 6 ½ hours of service:
Service fee = 700 * 6.5
Calculating this, we get:
Service fee ≈ Php 4,550.00
Therefore, the physical therapist would be paid approximately Php 4,550.00 for 6 ½ hours of service.