You know that 1 pound costs $3.85.
Knowing this, let's check each option given in the problem.
The procedure is: multiply the amount of pounds shown in each option by $3.85.
Then:
A) 5 pounds for $19.25;
[tex]3.85dollars\cdot5=19.25dollars[/tex]This rate is proportional to $3.85 per 1 pound .
B) $7.70 for 2 pounds:
[tex]3.85dollars\cdot2=7.70dollars[/tex]This rate is proportional to $3.85 per 1 pound .
C) 4 pounds for $15.10:
[tex]3.85dollars\cdot4=15.40dollars[/tex]This rate is not proportional to $3.85 per 1 pound.
D) $10.00 for 3 pounds:
[tex]3.85dollars\cdot3=11.55dollars[/tex]This rate is not proportional to $3.85 per 1 pound.
E) 10 pounds for $38.50:
[tex]3.85dollars\cdot10=38.50dollars[/tex]This rate is proportional to $3.85 per 1 pound.
F) $28.75 for 9 pounds:
[tex]3.85dollars\cdot9=34.65dollars[/tex]This rate is not proportional to $3.85 per 1 pound.
Therefore, the answers are:
A) 5 pounds for $19.25
B) $7.70 for 2 pounds.
E) 10 pounds for $38.50