Final answer:
To find the rate of pay per hour for an employee, you divide the total pay by the number of hours worked. This rate is known as the constant of proportionality, or k. For example, if someone is paid $250 for 100 hours of work, their rate of pay would be $2.50 per hour.
Step-by-step explanation:
To find the rate of pay per hour, which is the constant of proportionality or k, for Frank, John, and Stephanie, who all work at the same office, you would follow the method of dividing the total pay by the number of hours worked. This is because the pay (p) is proportional to the number of hours (h) they work.
The formula would be:
p = k × h
Where:
- p is the total pay
- h is the number of hours worked
- k is the constant of proportionality, or the rate of pay per hour
To solve for k, you rearrange the formula to:
k = p / h
So option a) Divide the total pay by the number of hours worked, is the correct way to find the rate of pay per hour.
For example, using a scenario where you're paid for making calls, if you made 100 calls in one week and received $250, your rate of pay per call would be calculated as $250 divided by 100 calls, equating to $2.50 per call.
Similarly, for an office job, if Frank worked 40 hours and was paid $600, his rate of pay would be $600 divided by 40 hours, resulting in a rate of $15 per hour.