Answer:
The maximum number of pizzas that Eileen can buy is
![5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/jv8zc7no2pb5wrtzpv4xd9y1pcvupwe0gl.png)
Explanation:
Let
x------> the number of pizzas
we know that
The inequality that represent this situation is
![9x\leq \$45](https://img.qammunity.org/2020/formulas/mathematics/high-school/5eszs4ei3wjpva6tsk99nr3iijn7kpan2t.png)
solve for x
Divide by 9 both sides
![x\leq 45/9](https://img.qammunity.org/2020/formulas/mathematics/high-school/uh34gjychjhjgaxrlz8zqd57sctd9unbbg.png)
![x\leq 5\ pizzas](https://img.qammunity.org/2020/formulas/mathematics/high-school/brkjz1eqdobwl598pxcokhoggfymagabot.png)
therefore
The maximum number of pizzas that Eileen can buy is
![5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/jv8zc7no2pb5wrtzpv4xd9y1pcvupwe0gl.png)