(a) Given that 40 ounces of Lazy Lawn fertilizer cover 1,250 square feet of lawn, let be "x" the number of ounces that would be required to cover a 9,000 square foot law.
You can set up the following proportion:
![(40)/(1250)=(x)/(9000)](https://img.qammunity.org/2023/formulas/mathematics/college/upjfdy0r1dec3irhsn1qmubs55q78c0hkd.png)
Now you need to solve for "x", in order to find its value:
![(9000)((40)/(1250))=x](https://img.qammunity.org/2023/formulas/mathematics/college/rrp8eukh76ueafot6rykxijmhpg2vzhtlb.png)
![x=288](https://img.qammunity.org/2023/formulas/mathematics/college/gvdx8xo8t15m7vas9f30q31l4fq360us8v.png)
(b) You know that Lazy Lawn costs $1.11 for a 36-ounce bag.
Let be "c" the total cost (in dollars) to fertilize the 9,000 square-foot lawn.
Knowing that 288 ounces are required to cover that lawn, you can set up this proportion:
![(1.11)/(36)=(c)/(288)](https://img.qammunity.org/2023/formulas/mathematics/college/q5ithp7npn7s3jp2ezd4hsq97wewjbdxvp.png)
Solving for "c", you get:
![(288)((1.11)/(36))=c](https://img.qammunity.org/2023/formulas/mathematics/college/ptpujwussia1kpitswl6jfxc6ymeeiy5s5.png)
![c=8.88](https://img.qammunity.org/2023/formulas/mathematics/college/4n2mmxd1ppzjrz46ke18ztlp0ymu3wee22.png)
Hence, the answers are:
(a)
![288\text{ }ounces](https://img.qammunity.org/2023/formulas/mathematics/college/7vgkeb0g2dcu11a704pg4dm9ew2qwucv14.png)
(b)
![\text{ \$}8.88](https://img.qammunity.org/2023/formulas/mathematics/college/4wohwhrwax1972ouqz9ayy1hkid7huywpq.png)