Answer:
a) The basic rate of pay is 6 sterling pounds per hour.
b) The higher rate of pay is 10 sterling pounds per hour.
Step-by-step explanation:
Both segments of the curve are first order polynomials, which means that each have constant slopes.
a) The basic rate of pay is the value of the slope (), in sterling pounds per hour, of the line for the first 20 hours worked, that is:
(1)
Where:
- Change in hours worked, in hours.
- Change in pay, in sterling pounds.
If we know that and , then the basic rate is:
The basic rate of pay is 6 sterling pounds per hour.
b) By using (1), we calculate the higher rate of pay below. If we know that and , then the higher rate is:
The higher rate of pay is 10 sterling pounds per hour.