(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:
[tex]\frac{40}{1250}=\frac{x}{9000}[/tex]Now you need to solve for "x", in order to find its value:
[tex](9000)(\frac{40}{1250})=x[/tex][tex]x=288[/tex](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:
[tex]\frac{1.11}{36}=\frac{c}{288}[/tex]Solving for "c", you get:
[tex](288)(\frac{1.11}{36})=c[/tex][tex]c=8.88[/tex]Hence, the answers are:
(a)
[tex]288\text{ }ounces[/tex](b)
[tex]\text{ \$}8.88[/tex]