Question

Anyone know this.......

Answer 1

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 ($r$), in sterling pounds per hour, of the line for the first 20 hours worked, that is:

$r = \frac{\Delta y}{\Delta x}$ (1)

Where:

$\Delta x$ - Change in hours worked, in hours.

$\Delta y$ - Change in pay, in sterling pounds.

If we know that $\Delta x = 20\,h$ and $\Delta y = \pounds\, 120$, then the basic rate is:

$r = \frac{\Delta y}{\Delta x}$

$r = \frac{\pounds\,120}{20\,h}$

$r = 6\,\frac{\pounds}{h}$

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 $\Delta x = 10\,h$ and $\Delta y = \pounds \,100$, then the higher rate is:

$r = \frac{\Delta y}{\Delta x}$

$r = \frac{\pounds\,100}{10\,h}$

$r = 10\,\frac{\pounds}{h}$

The higher rate of pay is 10 sterling pounds per hour.