It took Lou 2 1/2 gallons of paint to paint one fence. How many gallons to paint six fences that are small in size

Answer:15 gallons to paint six fences that are small in size.Step-by-step explanation:Unit rate defined as the rates are expressed as a quantity 1 such as 3 miles per hour or 5 meter per seconds.As per the statement:It took Lou [tex]2\frac{1}{2}[/tex] gallons of paint to paint one fence. [tex]\text{Unit rate per fence}= \frac{\text{Number of gallons of paint}}{\text{number of fences}}[/tex]Substitute the given value we have;[tex]\text{Unit rate per fence}= \frac{\frac{5}{2} }{1} = \frac{5}{2}[/tex] gallons.We have to find how many gallons to paint six fences that are small in size.By definition of unit rate;[tex]\text{Number of gallons to paint 6 fences}= \text{Unit rate per fence} \times 6[/tex]Substitute the given values we have;[tex]\text{Number of gallons to paint 6 fences}= \frac{5}{2} \times 6 = 5 \times 3 = 15[/tex]Therefore, 15 gallons to paint six fences that are small in size.