Answer:
T = {$0.01a if a ≤ $22000
$(0.25a - 3300) if a > $22000}
Step-by-step explanation:
A country taxes the first $22000 of an individual's income at 10%.
If the income of an individual is = $a.
Tax up-to $22000 will be
= a × [tex]\frac{10}{100}[/tex]
= $0.01a
Above $22000 tax deducted will be
= (a - 22000)×[tex]\frac{25}{100}[/tex]
= 0.25a - 5500
= $(0.25a - 5500)
Total tax 'T' = 0.25a - 5500 + 2200
T = $(0.25a - 3300)
Piece-wise function will be
T = {$0.01a if a ≤ $22000
$(0.25a - 3300) if a > $22000}
