$\"\"$

\

The most Kala can spend on hot dogs and buns for her cookout is $\"\"$ .

\

A package of $\"\"$ hot dogs costs $\"\"$ .

\

A package of buns, contains $\"\"$ buns costs $\"\"$ .

\

She needs to buy at least $\"\"$ hot dogs and $\"\"$ buns.

\

$\"\"$ hot dogs $\"\"$ packages of hot dogs.

\

$\"\"$ buns $\"\"$ packages of buns.

\

a.

\

Graph the region that shows how many packages of each item she can purchase.

\

Let $\"\"$ be the number of package of hotdogs.

\

Let $\"\"$ be the number of package of buns.

\

The inequalities that represents are $\"\"$ and $\"\"$ , $\"\"$ .

\

Graph.

\

Graph the inequalities $\"\"$ and $\"\"$ , $\"\"$ .

\

$\"\"$

\

$\"\"$

\

b.

\

Examples of three different purchases she can make.

\

Write the different choices by taking the points in the shaded region.

\

$\"\"$ packages of hotdogs, $\"\"$ packages of buns.

\

$\"\"$ packages of hotdogs, $\"\"$ packages of buns.

\

$\"\"$ packages of hotdogs, $\"\"$ packages of buns.

\

$\"\"$

\

a.

\

Graph the inequalities $\"\"$ and $\"\"$ , $\"\"$ .

\

$\"\"$

\

b.

\

$\"\"$ packages of hotdogs, $\"\"$ packages of buns, $\"\"$ packages of hotdogs, $\"\"$ packages of buns and

\

$\"\"$ packages of hotdogs, $\"\"$ packages of buns.