Answer
$y=27x+3$
$D:\{x|\,10\le x\le35\}$
$R:\{y|\,273\le y\le948\}$
Work Step by Step
Let $x$ be the number of tickets and $y$ be the total price. Based on the conditions of the problem, the equation that represents the situation is
$$\begin{aligned}
y&=x(25+2)+3
\\
y&=27x+3
.\end{aligned}$$
Since there are between $10$ to $35$ students who will go, then the domain $D$ of the equation above is
$$
D:\{x|\,10\le x\le35\}
.$$
Substituting $x=10$ in the equation above results in $y=273$. Substituting $x=35$ in the equation above results in $y=948$. Hence, the range $R$ of the equation above is
$$
R:\{y|\,273\le y\le948\}
$$
