Kathy has two summer jobs. She works as a beautician, which pay $\$10$ per hour and she works at the billing counter for a supermarket, which pays her $\$10.50$ per hour. She can work no more than 20 hours per week, but she wants to earn at least $\$250$ per week. Which of the following inequalities represents this situation in terms of $x$ and $y$ where $x$ is the number of hours, she works as a beautician and $y$ the number of hours, she works for the super market ?

Question

$\begin{array}{1 1} (a)\; 10x+10.50y \leq 250 \\ \qquad x+y \geq 20 \\ \\ (b)\; 10x+10.5\leq250 \\ \qquad x+y\leq20 \\ \\ (c)\; 10x + 10.50y \geq 250 \\ \qquad x+y\leq 20 \\ \\ (d)\; 10x+10.50y \geq 250 \\ \qquad x+y\geq20\end{array}$