Answer:
The unit rate is 3 pounds per gallon.
Henry's likely error could have been that he multiplied instead of dividing.
Step-by-step explanation:
Given the rate 1/3 pound / 1/9 gallon, this can be written in the unit rate by dividing 1/3 pound by 1/9 gallon. First, we will evaluate 1/3 divided by 1/9 and the unit will be in pound per gallon.
1/3 divided by 1/9 can be written as
[tex]\frac{1}{3} \div \frac{1}{9}[/tex]
This then becomes
[tex]\frac{1}{3} \times \frac{9}{1}[/tex]
[tex]\frac{1}{3} \times \frac{9}{1} = \frac{9}{3} = 3[/tex]
Hence, the unit rate is 3 pounds per gallon.
Henry's likely error could have been that he multiplied instead of dividing. That is, he multiplied 1/3 by 1/9, Such that he gets
[tex]\frac{1}{3} \times \frac{1}{9}[/tex]
[tex]\frac{1}{3} \times \frac{1}{9} = \frac{1}{27}[/tex]
Hence, the 1/27 pound per gallon he got.