In Canada, the federal tax rate you have to pay depends on your income bracket.

$15\%$ on the first $$53,359$ of taxable income.

$20\mathrm{.}5\%$ on taxable income over $$53,359$ up to $$106,717.$

$26\%$ on taxable income over $$106,717$ up to $$165,430.$

$29\%$ on taxable income over $$165,430$ up to $$235,675.$

$33\%$ on any taxable income over $$235,675.$

a$.$ Write a simplified expression that determines the Tax $(T)$ as a function of income $($i$)$ for someone making more than $$235,675.[3$ marks$]$