Answer: [tex]300\ feet[/tex]
Step-by-step explanation:
Let be "x" the lenght in feet of rope that you can buy with 30 dollars.
According to the information provided in the exercise, you can buy a piece of rope of 2 feet with 20 cents.
Remember that [tex]20\ cents=0.2\ dollars[/tex]
Knowing this, you can write the following proportion:
[tex]\frac{0.2}{2}=\frac{30}{x}[/tex]
FInally, solving for "x", you get this result:
[tex]\frac{0.2}{2}=\frac{30}{x}\\\\x(\frac{0.2}{2})=30\\\\x=(30)(\frac{2}{0.20})\\\\x=300[/tex]
