At a jazz club, the cost of an evening is based on a cover charge of $15 plus a beverage charge of $7 per drink.

(a) Find a formula for $t(x)$, the total cost for an evening in which $x$ drinks are consumed.
$t(x) =$

(b) If the price of the cover charge is raised by $5, express the new total cost function, $n(x)$, as a transformation of $t(x)$.
$n(x) =$
Note: Do not give an explicit formula. Using function notation, write an expression for $n(x)$ by performing the necessary transformations to $t(x)$. For example your answer should be of the form, $n(x) = t(x-100)+180$ and not of the form $n(x) = 80x + 9$.

(c) The management increases the cover charge to $35, leaves the price of a drink at $7, but includes the first three drinks for free. For $x \ge 3$, express $p(x)$, the new total cost, as a transformation of $t(x)$.
$p(x) =$
(see note in (b) above for the correct way to express your answer)