Question

Anyone know this.......

Answer 1

a) The basic rate of pay is 6 sterling pounds per hour.

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

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 = (\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 = (\Delta y)/(\Delta x)`

`r = (\pounds\,120)/(20\,h)`

`r = 6\,(\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 = (\Delta y)/(\Delta x)`

`r = (\pounds\,100)/(10\,h)`

`r = 10\,(\pounds)/(h)`

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