The service fee f of a physical therapist varies directly as the number of hours n of service rendered. A physical therapist charges Php 2,100 for 3 hours service to patients in a home care. How much wolud he be paid for 6 1/2 hours of service?
2100 / 3 = 700
700 * 6.5 = 4,550
To find out how much the physical therapist would be paid for 6 1/2 hours of service, we first need to determine the rate of the service fee per hour.
Given:
Number of hours of service rendered (n) = 3 hours
Service fee (f) = Php 2,100
Since the service fee varies directly as the number of hours of service, we can express this relationship using a proportion:
f/n = k
Where k is the constant of variation.
Plugging in the values, we have:
2100 / 3 = k
Simplifying, we find:
k = 700
Now that we know the constant of variation, we can determine the service fee for 6 1/2 hours.
Number of hours of service rendered (n) = 6 1/2 hours
Using the constant of variation k, the formula becomes:
f = k * n
Plugging in the values, we have:
f = 700 * 6.5
Simplifying, we find:
f = 4,550
Therefore, the physical therapist would be paid Php 4,550 for 6 1/2 hours of service.
To find out how much the physical therapist would be paid for 6 1/2 hours of service, we need to determine the constant of variation between the service fee and the number of hours.
Let's call the constant of variation k. From the given information, we know that when n = 3, f = Php 2,100. Using this information, we can set up a proportion to find the value of k:
k = f/n
k = 2100/3
k = 700
Now that we know the constant of variation is 700, we can find the service fee for 6 1/2 hours using the same formula:
f = kn
f = 700 * 6.5
f = 4550
Therefore, the physical therapist would be paid Php 4,550 for 6 1/2 hours of service.