Question

Please help, I am stuck?

Answer 1

`"if "0 <= x<=32" then "$25xx x`

`"if "x> 32" then "$25[color(white)("d")32+1.5(x-32)]`

Domain (input) for all `->x>=0`
Domain for overtime `->x > 32`

Explanation:

Let the total weekly hours worked be `x`

`color(brown)("Standard rate with no overtime - full week")`

$25 per hour at 32 hours per week `->$25xx32`

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(brown)("Standard rate with overtime - full week")`

$25 per hour at 32 hours per week `->$25xx32`

If overtime then `x>32`

Overtime at time and a half `->$25xx(x-32)xx1.5`

So for overtime included we have:

`($25xx32)+($25xx1.5xx(x-32))`

`$25[color(white)("d")32+1.5(x-32)color(white)("d")]`

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

`"if "x<=32" then "$25xx x`

`"if "x> 32" then "$25[color(white)("d")32+1.5(x-32)]`

Note that `$25xx 1.5 -> $25.00`
`color(white)("dddddddddd.ddddddd")ul($12.50 larr" Add")`
`color(white)("dddddddddddddddddd") $37.50` per hour